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„Sokszögszámok” változatai közötti eltérés

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219. sor:
Ha ''s'' a sokszög oldalainak száma, az ''n''-edik ''s''-szögszámot a következő képlet adja: ½''n''''((s''-2)''n'' – (4-''s)).''
 
 
<table border="3" cellpadding="3"><tr><b>
{| border="3" cellpadding="3"
<td align=center>Név</td><td align=center>Képlet</td><td align=center><i>n</i>=1</td><td align=center>2</td><td align=center>3</td><td align=center>4</td><td align=center>5</td><td align=center>6</td><td align=center>7</td><td align=center>8</td><td align=center>9</td><td align=center>10</td><td align=center>11</td><td align=center>12</td><td align=center>13</td></b></tr>
|-----
<tr><td align=center>Háromszögszám</td><td align=center>½<i>n</i>(1<i>n</i> + 1)</td>
<b>
<td align=right>1</td><td align=right>3</td><td align=right>6</td><td align=right>10</td><td align=right>15</td><td align=right>21</td><td align=right>28</td><td align=right>36</td><td align=right>45</td><td align=right>55</td><td align=right>66</td><td align=right>78</td><td align=right>91</td></tr>
<tr><td| align="center>Négyzetszám</td><td" | Név || align="center>½<i>n</i>(2<i>n</i>" –| 0)</td>Képlet
| align="center" | <i>n</i>=1
<td align=right>1</td><td align=right>4</td><td align=right>9</td><td align=right>16</td><td align=right>25</td><td align=right>36</td><td align=right>49</td><td align=right>64</td><td align=right>81</td><td align=right>100</td><td align=right>121</td><td align=right>144</td><td align=right>169</td></tr>
<tr><td| align="center>Ötszögszám</td><td" | 2 || align="center>½<i>n</i>(3<i>n</i>" –| 1)</td>3
| align="center" | 4
<td align=right>1</td><td align=right>5</td><td align=right>12</td><td align=right>22</td><td align=right>35</td><td align=right>51</td><td align=right>70</td><td align=right>92</td><td align=right>117</td><td align=right>145</td><td align=right>176</td><td align=right>210</td><td align=right>247</td></tr>
<tr><td| align="center>Hatszögszám</td><td" | 5 || align="center>½<i>n</i>(4<i>n</i>" –| 2)</td>6
| align="center" | 7
<td align=right>1</td><td align=right>6</td><td align=right>15</td><td align=right>28</td><td align=right>45</td><td align=right>66</td><td align=right>91</td><td align=right>120</td><td align=right>153</td><td align=right>190</td><td align=right>231</td><td align=right>276</td><td align=right>325</td></tr>
<tr><td| align="center>Hétszögszám</td><td" | 8 || align="center>½<i>n</i>(5<i>n</i>" –| 3)</td>9
| align="center" | 10
<td align=right>1</td><td align=right>7</td><td align=right>18</td><td align=right>34</td><td align=right>55</td><td align=right>81</td><td align=right>112</td><td align=right>148</td><td align=right>189</td><td align=right>235</td><td align=right>286</td><td align=right>342</td><td align=right>403</td></tr>
<tr><td| align="center>Nyolcszögszám</td><td" | 11 || align="center>½<i>n</i>(6<i>n</i>" –| 4)</td>12
| align="center" | 13</b>
<td align=right>1</td><td align=right>8</td><td align=right>21</td><td align=right>40</td><td align=right>65</td><td align=right>96</td><td align=right>133</td><td align=right>176</td><td align=right>225</td><td align=right>280</td><td align=right>341</td><td align=right>408</td><td align=right>481</td></tr>
|-----
<tr><td align=center>Kilencszögszám</td><td align=center>½<i>n</i>(7<i>n</i> – 5)</td>
| align="center" | Háromszögszám
<td align=right>1</td><td align=right>9</td><td align=right>24</td><td align=right>46</td><td align=right>75</td><td align=right>111</td><td align=right>154</td><td align=right>204</td><td align=right>261</td><td align=right>325</td><td align=right>396</td><td align=right>474</td><td align=right>559</td></tr>
<tr><td| align="center>Tízszögszám</td><td" | align=center>½<i>n</i>(81<i>n</i> –+ 61)</td>
| align="right" | 1 || align="right" | 3
<td align=right>1</td><td align=right>10</td><td align=right>27</td><td align=right>52</td><td align=right>85</td><td align=right>126</td><td align=right>175</td><td align=right>232</td><td align=right>297</td><td align=right>370</td><td align=right>451</td><td align=right>540</td><td align=right>637</td></tr>
| align="right" | 6
<tr><td align=center>11-szögszám</td><td align=center>½<i>n</i>(9<i>n</i> – 7)</td>
| align="right" | 10 || align="right" | 15
<td align=right>1</td><td align=right>11</td><td align=right>30</td><td align=right>58</td><td align=right>95</td><td align=right>141</td><td align=right>196</td><td align=right>260</td><td align=right>333</td><td align=right>415</td><td align=right>506</td><td align=right>606</td><td align=right>715</td></tr>
| align="right" | 21
<tr><td align=center>12-szögszám</td><td align=center>½<i>n</i>(10<i>n</i> – 8)</td>
| align="right" | 28 || align="right" | 36
<td align=right>1</td><td align=right>12</td><td align=right>33</td><td align=right>64</td><td align=right>105</td><td align=right>156</td><td align=right>217</td><td align=right>288</td><td align=right>369</td><td align=right>460</td><td align=right>561</td><td align=right>672</td><td align=right>793</td></tr>
| align="right" | 45
<tr><td align=center>13-szögszám</td><td align=center>½<i>n</i>(11<i>n</i> – 9)</td>
| align="right" | 55 || align="right" | 66
<td align=right>1</td><td align=right>13</td><td align=right>36</td><td align=right>70</td><td align=right>115</td><td align=right>171</td><td align=right>238</td><td align=right>316</td><td align=right>405</td><td align=right>505</td><td align=right>616</td><td align=right>738</td><td align=right>871</td></tr>
| align="right" | 78 || align="right" | 91
<tr><td align=center>14-szögszám</td><td align=center>½<i>n</i>(12<i>n</i> – 10)</td>
|-----
<td align=right>1</td><td align=right>14</td><td align=right>39</td><td align=right>76</td><td align=right>125</td><td align=right>186</td><td align=right>259</td><td align=right>344</td><td align=right>441</td><td align=right>550</td><td align=right>671</td><td align=right>804</td><td align=right>949</td></tr>
| align="center" | Négyzetszám
<tr><td align=center>15-szögszám</td><td align=center>½<i>n</i>(13<i>n</i> – 11)</td>
| align="center" | ½<i>n</i>(2<i>n</i> – 0)
<td align=right>1</td><td align=right>15</td><td align=right>42</td><td align=right>82</td><td align=right>135</td><td align=right>201</td><td align=right>280</td><td align=right>372</td><td align=right>477</td><td align=right>595</td><td align=right>726</td><td align=right>870</td><td align=right>1027</td></tr>
| align="right" | 1 || align="right" | 4
<tr><td align=center>16-szögszám</td><td align=center>½<i>n</i>(14<i>n</i> – 12)</td>
| align="right" | 9
<td align=right>1</td><td align=right>16</td><td align=right>45</td><td align=right>88</td><td align=right>145</td><td align=right>216</td><td align=right>301</td><td align=right>400</td><td align=right>513</td><td align=right>640</td><td align=right>781</td><td align=right>936</td><td align=right>1105</td></tr>
| align="right" | 16 || align="right" | 25
<tr><td align=center>17-szögszám</td><td align=center>½<i>n</i>(15<i>n</i> – 13)</td>
| align="right" | 36
<td align=right>1</td><td align=right>17</td><td align=right>48</td><td align=right>94</td><td align=right>155</td><td align=right>231</td><td align=right>322</td><td align=right>428</td><td align=right>549</td><td align=right>685</td><td align=right>836</td><td align=right>1002</td><td align=right>1183</td></tr>
| align="right" | 49 || align="right" | 64
<tr><td align=center>18-szögszám</td><td align=center>½<i>n</i>(16<i>n</i> – 14)</td>
| align="right" | 81
<td align=right>1</td><td align=right>18</td><td align=right>51</td><td align=right>100</td><td align=right>165</td><td align=right>246</td><td align=right>343</td><td align=right>456</td><td align=right>585</td><td align=right>730</td><td align=right>891</td><td align=right>1068</td><td align=right>1261</td></tr>
| align="right" | 100 || align="right" | 121
<tr><td align=center>19-szögszám</td><td align=center>½<i>n</i>(17<i>n</i> – 15)</td>
| align="right" | 144 || align="right" | 169
<td align=right>1</td><td align=right>19</td><td align=right>54</td><td align=right>106</td><td align=right>175</td><td align=right>261</td><td align=right>364</td><td align=right>484</td><td align=right>621</td><td align=right>775</td><td align=right>946</td><td align=right>1134</td><td align=right>1339</td></tr>
|-----
<tr><td align=center>20-szögszám</td><td align=center>½<i>n</i>(18<i>n</i> – 16)</td>
| align="center" | Ötszögszám
<td align=right>1</td><td align=right>20</td><td align=right>57</td><td align=right>112</td><td align=right>185</td><td align=right>276</td><td align=right>385</td><td align=right>512</td><td align=right>657</td><td align=right>820</td><td align=right>1001</td><td align=right>1200</td><td align=right>1417</td></tr>
<tr><td| align="center>21-szögszám</td><td" | align=center>½<i>n</i>(193<i>n</i> – 171)</td>
| align="right" | 1 || align="right" | 5
<td align=right>1</td><td align=right>21</td><td align=right>60</td><td align=right>118</td><td align=right>195</td><td align=right>291</td><td align=right>406</td><td align=right>540</td><td align=right>693</td><td align=right>865</td><td align=right>1056</td><td align=right>1266</td><td align=right>1495</td></tr>
| align="right" | 12
<tr><td align=center>22-szögszám</td><td align=center>½<i>n</i>(20<i>n</i> – 18)</td>
| align="right" | 22 || align="right" | 35
<td align=right>1</td><td align=right>22</td><td align=right>63</td><td align=right>124</td><td align=right>205</td><td align=right>306</td><td align=right>427</td><td align=right>568</td><td align=right>729</td><td align=right>910</td><td align=right>1111</td><td align=right>1332</td><td align=right>1573</td></tr>
| align="right" | 51
<tr><td align=center>23-szögszám</td><td align=center>½<i>n</i>(21<i>n</i> – 19)</td>
| align="right" | 70 || align="right" | 92
<td align=right>1</td><td align=right>23</td><td align=right>66</td><td align=right>130</td><td align=right>215</td><td align=right>321</td><td align=right>448</td><td align=right>596</td><td align=right>765</td><td align=right>955</td><td align=right>1166</td><td align=right>1398</td><td align=right>1651</td></tr>
| align="right" | 117
<tr><td align=center>24-szögszám</td><td align=center>½<i>n</i>(22<i>n</i> – 20)</td>
| align="right" | 145 || align="right" | 176
<td align=right>1</td><td align=right>24</td><td align=right>69</td><td align=right>136</td><td align=right>225</td><td align=right>336</td><td align=right>469</td><td align=right>624</td><td align=right>801</td><td align=right>1000</td><td align=right>1221</td><td align=right>1464</td><td align=right>1729</td></tr>
| align="right" | 210 || align="right" | 247
<tr><td align=center>25-szögszám</td><td align=center>½<i>n</i>(23<i>n</i> – 21)</td>
|-----
<td align=right>1</td><td align=right>25</td><td align=right>72</td><td align=right>142</td><td align=right>235</td><td align=right>351</td><td align=right>490</td><td align=right>652</td><td align=right>837</td><td align=right>1045</td><td align=right>1276</td><td align=right>1530</td><td align=right>1807</td></tr>
| align="center" | Hatszögszám
<tr><td align=center>26-szögszám</td><td align=center>½<i>n</i>(24<i>n</i> – 22)</td>
| align="center" | ½<i>n</i>(4<i>n</i> – 2)
<td align=right>1</td><td align=right>26</td><td align=right>75</td><td align=right>148</td><td align=right>245</td><td align=right>366</td><td align=right>511</td><td align=right>680</td><td align=right>873</td><td align=right>1090</td><td align=right>1331</td><td align=right>1596</td><td align=right>1885</td></tr>
| align="right" | 1 || align="right" | 6
<tr><td align=center>27-szögszám</td><td align=center>½<i>n</i>(25<i>n</i> – 23)</td>
| align="right" | 15
<td align=right>1</td><td align=right>27</td><td align=right>78</td><td align=right>154</td><td align=right>255</td><td align=right>381</td><td align=right>532</td><td align=right>708</td><td align=right>909</td><td align=right>1135</td><td align=right>1386</td><td align=right>1662</td><td align=right>1963</td></tr>
| align="right" | 28 || align="right" | 45
<tr><td align=center>28-szögszám</td><td align=center>½<i>n</i>(26<i>n</i> – 24)</td>
| align="right" | 66
<td align=right>1</td><td align=right>28</td><td align=right>81</td><td align=right>160</td><td align=right>265</td><td align=right>396</td><td align=right>553</td><td align=right>736</td><td align=right>945</td><td align=right>1180</td><td align=right>1441</td><td align=right>1728</td><td align=right>2041</td></tr>
| align="right" | 91 || align="right" | 120
<tr><td align=center>29-szögszám</td><td align=center>½<i>n</i>(27<i>n</i> – 25)</td>
| align="right" | 153
<td align=right>1</td><td align=right>29</td><td align=right>84</td><td align=right>166</td><td align=right>275</td><td align=right>411</td><td align=right>574</td><td align=right>764</td><td align=right>981</td><td align=right>1225</td><td align=right>1496</td><td align=right>1794</td><td align=right>2119</td></tr>
| align="right" | 190 || align="right" | 231
<tr><td align=center>30-szögszám</td><td align=center>½<i>n</i>(28<i>n</i> – 26)</td>
| align="right" | 276 || align="right" | 325
<td align=right>1</td><td align=right>30</td><td align=right>87</td><td align=right>172</td><td align=right>285</td><td align=right>426</td><td align=right>595</td><td align=right>792</td><td align=right>1017</td><td align=right>1270</td><td align=right>1551</td><td align=right>1860</td><td align=right>2197</td></tr>
|-----
</table>
| align="center" | Hétszögszám
| align="center" | ½<i>n</i>(5<i>n</i> – 3)
| align="right" | 1 || align="right" | 7
| align="right" | 18
| align="right" | 34 || align="right" | 55
| align="right" | 81
| align="right" | 112 || align="right" | 148
| align="right" | 189
| align="right" | 235 || align="right" | 286
| align="right" | 342 || align="right" | 403
|-----
| align="center" | Nyolcszögszám
| align="center" | ½<i>n</i>(6<i>n</i> – 4)
| align="right" | 1 || align="right" | 8
| align="right" | 21
| align="right" | 40 || align="right" | 65
| align="right" | 96
| align="right" | 133 || align="right" | 176
| align="right" | 225
| align="right" | 280 || align="right" | 341
| align="right" | 408 || align="right" | 481
|-----
| align="center" | Kilencszögszám
| align="center" | ½<i>n</i>(7<i>n</i> – 5)
| align="right" | 1 || align="right" | 9
| align="right" | 24
| align="right" | 46 || align="right" | 75
| align="right" | 111
| align="right" | 154 || align="right" | 204
| align="right" | 261
| align="right" | 325 || align="right" | 396
| align="right" | 474 || align="right" | 559
|-----
| align="center" | Tízszögszám
| align="center" | ½<i>n</i>(8<i>n</i> – 6)
| align="right" | 1 || align="right" | 10
| align="right" | 27
| align="right" | 52 || align="right" | 85
| align="right" | 126
| align="right" | 175 || align="right" | 232
| align="right" | 297
| align="right" | 370 || align="right" | 451
| align="right" | 540 || align="right" | 637
|-----
| align="center" | 11-szögszám
| align="center" | ½<i>n</i>(9<i>n</i> – 7)
| align="right" | 1 || align="right" | 11
| align="right" | 30
| align="right" | 58 || align="right" | 95
| align="right" | 141
| align="right" | 196 || align="right" | 260
| align="right" | 333
| align="right" | 415 || align="right" | 506
| align="right" | 606 || align="right" | 715
|-----
| align="center" | 12-szögszám
| align="center" | ½<i>n</i>(10<i>n</i> – 8)
| align="right" | 1 || align="right" | 12
| align="right" | 33
| align="right" | 64 || align="right" | 105
| align="right" | 156
| align="right" | 217 || align="right" | 288
| align="right" | 369
| align="right" | 460 || align="right" | 561
| align="right" | 672 || align="right" | 793
|-----
| align="center" | 13-szögszám
| align="center" | ½<i>n</i>(11<i>n</i> – 9)
| align="right" | 1 || align="right" | 13
| align="right" | 36
| align="right" | 70 || align="right" | 115
| align="right" | 171
| align="right" | 238 || align="right" | 316
| align="right" | 405
| align="right" | 505 || align="right" | 616
| align="right" | 738 || align="right" | 871
|-----
| align="center" | 14-szögszám
| align="center" | ½<i>n</i>(12<i>n</i> – 10)
| align="right" | 1 || align="right" | 14
| align="right" | 39
| align="right" | 76 || align="right" | 125
| align="right" | 186
| align="right" | 259 || align="right" | 344
| align="right" | 441
| align="right" | 550 || align="right" | 671
| align="right" | 804 || align="right" | 949
|-----
| align="center" | 15-szögszám
| align="center" | ½<i>n</i>(13<i>n</i> – 11)
| align="right" | 1 || align="right" | 15
| align="right" | 42
| align="right" | 82 || align="right" | 135
| align="right" | 201
| align="right" | 280 || align="right" | 372
| align="right" | 477
| align="right" | 595 || align="right" | 726
| align="right" | 870 || align="right" | 1027
|-----
| align="center" | 16-szögszám
| align="center" | ½<i>n</i>(14<i>n</i> – 12)
| align="right" | 1 || align="right" | 16
| align="right" | 45
| align="right" | 88 || align="right" | 145
| align="right" | 216
| align="right" | 301 || align="right" | 400
| align="right" | 513
| align="right" | 640 || align="right" | 781
| align="right" | 936 || align="right" | 1105
|-----
| align="center" | 17-szögszám
| align="center" | ½<i>n</i>(15<i>n</i> – 13)
| align="right" | 1 || align="right" | 17
| align="right" | 48
| align="right" | 94 || align="right" | 155
| align="right" | 231
| align="right" | 322 || align="right" | 428
| align="right" | 549
| align="right" | 685 || align="right" | 836
| align="right" | 1002 || align="right" | 1183
|-----
| align="center" | 18-szögszám
| align="center" | ½<i>n</i>(16<i>n</i> – 14)
| align="right" | 1 || align="right" | 18
| align="right" | 51
| align="right" | 100 || align="right" | 165
| align="right" | 246
| align="right" | 343 || align="right" | 456
| align="right" | 585
| align="right" | 730 || align="right" | 891
| align="right" | 1068 || align="right" | 1261
|-----
| align="center" | 19-szögszám
| align="center" | ½<i>n</i>(17<i>n</i> – 15)
| align="right" | 1 || align="right" | 19
| align="right" | 54
| align="right" | 106 || align="right" | 175
| align="right" | 261
| align="right" | 364 || align="right" | 484
| align="right" | 621
| align="right" | 775 || align="right" | 946
| align="right" | 1134 || align="right" | 1339
|-----
| align="center" | 20-szögszám
| align="center" | ½<i>n</i>(18<i>n</i> – 16)
| align="right" | 1 || align="right" | 20
| align="right" | 57
| align="right" | 112 || align="right" | 185
| align="right" | 276
| align="right" | 385 || align="right" | 512
| align="right" | 657
| align="right" | 820 || align="right" | 1001
| align="right" | 1200 || align="right" | 1417
|-----
| align="center" | 21-szögszám
| align="center" | ½<i>n</i>(19<i>n</i> – 17)
| align="right" | 1 || align="right" | 21
| align="right" | 60
| align="right" | 118 || align="right" | 195
| align="right" | 291
| align="right" | 406 || align="right" | 540
| align="right" | 693
| align="right" | 865 || align="right" | 1056
| align="right" | 1266 || align="right" | 1495
|-----
| align="center" | 22-szögszám
| align="center" | ½<i>n</i>(20<i>n</i> – 18)
| align="right" | 1 || align="right" | 22
| align="right" | 63
| align="right" | 124 || align="right" | 205
| align="right" | 306
| align="right" | 427 || align="right" | 568
| align="right" | 729
| align="right" | 910 || align="right" | 1111
| align="right" | 1332 || align="right" | 1573
|-----
| align="center" | 23-szögszám
| align="center" | ½<i>n</i>(21<i>n</i> – 19)
| align="right" | 1 || align="right" | 23
| align="right" | 66
| align="right" | 130 || align="right" | 215
| align="right" | 321
| align="right" | 448 || align="right" | 596
| align="right" | 765
| align="right" | 955 || align="right" | 1166
| align="right" | 1398 || align="right" | 1651
|-----
| align="center" | 24-szögszám
| align="center" | ½<i>n</i>(22<i>n</i> – 20)
| align="right" | 1 || align="right" | 24
| align="right" | 69
| align="right" | 136 || align="right" | 225
| align="right" | 336
| align="right" | 469 || align="right" | 624
| align="right" | 801
| align="right" | 1000 || align="right" | 1221
| align="right" | 1464 || align="right" | 1729
|-----
| align="center" | 25-szögszám
| align="center" | ½<i>n</i>(23<i>n</i> – 21)
| align="right" | 1 || align="right" | 25
| align="right" | 72
| align="right" | 142 || align="right" | 235
| align="right" | 351
| align="right" | 490 || align="right" | 652
| align="right" | 837
| align="right" | 1045 || align="right" | 1276
| align="right" | 1530 || align="right" | 1807
|-----
| align="center" | 26-szögszám
| align="center" | ½<i>n</i>(24<i>n</i> – 22)
| align="right" | 1 || align="right" | 26
| align="right" | 75
| align="right" | 148 || align="right" | 245
| align="right" | 366
| align="right" | 511 || align="right" | 680
| align="right" | 873
| align="right" | 1090 || align="right" | 1331
| align="right" | 1596 || align="right" | 1885
|-----
| align="center" | 27-szögszám
| align="center" | ½<i>n</i>(25<i>n</i> – 23)
| align="right" | 1 || align="right" | 27
| align="right" | 78
| align="right" | 154 || align="right" | 255
| align="right" | 381
| align="right" | 532 || align="right" | 708
| align="right" | 909
| align="right" | 1135 || align="right" | 1386
| align="right" | 1662 || align="right" | 1963
|-----
| align="center" | 28-szögszám
| align="center" | ½<i>n</i>(26<i>n</i> – 24)
| align="right" | 1 || align="right" | 28
| align="right" | 81
| align="right" | 160 || align="right" | 265
| align="right" | 396
| align="right" | 553 || align="right" | 736
| align="right" | 945
| align="right" | 1180 || align="right" | 1441
| align="right" | 1728 || align="right" | 2041
|-----
| align="center" | 29-szögszám
| align="center" | ½<i>n</i>(27<i>n</i> – 25)
| align="right" | 1 || align="right" | 29
| align="right" | 84
| align="right" | 166 || align="right" | 275
| align="right" | 411
| align="right" | 574 || align="right" | 764
| align="right" | 981
| align="right" | 1225 || align="right" | 1496
| align="right" | 1794 || align="right" | 2119
|-----
| align="center" | 30-szögszám
| align="center" | ½<i>n</i>(28<i>n</i> – 26)
| align="right" | 1 || align="right" | 30
| align="right" | 87
| align="right" | 172 || align="right" | 285
| align="right" | 426
| align="right" | 595 || align="right" | 792
| align="right" | 1017
| align="right" | 1270 || align="right" | 1551
| align="right" | 1860 || align="right" | 2197
|}
 
==Külső hivatkozások==
A lap eredeti címe: „https://hu.wikipedia.org/wiki/Sokszögszámok”