士的數
维基百科,自由的百科全书
第n個士的數(cabtaxi number),表示為Cabtaxi(n),定義為能以n種方法寫成兩個或正或負或零的立方數之和的正整數中最小者。它的名字來自的士數的顛倒。對任何的n,這樣的數均存在,因為的士數對所有的n都存在。現時只有9個士的數是已知的(OEIS中的数列A047696):
n | Ca(n) | a^3+b^3 | 發現日期 | 發現者 |
---|---|---|---|---|
1 | 1 | 1,0 | ||
2 | 91 | 3,4 6,-5 |
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3 | 728 | 6,8 9,-1 12,-10 |
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4 | 2741256 | 2421,19083 140,-14 168,-126 207,-183 |
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5 | 6017193 | 166,113 180,57 185,-68 209,-146 246,-207 |
Randall L. Rathbun | |
6 | 1412774811 | 963,804 1134,-357 1155,-504 1246,-805 2115,-2004 4746,-4725 |
Randall L. Rathbun | |
7 | 11302198488 | 1926,1608 1939,1589 2268,-714 2310,-1008 2492,-1610 4230,- 4008 9492,-9450 |
Randall L. Rathbun | |
8 | 137513849003496 | 22944,50058 36547,44597 36984,44298 52164,-16422 53130,-23184 57316,-37030 97290,-92184 218316,-217350 |
Daniel J. Bernstein | |
9 | 424910390480793000 | 645210,538680 649565,532315 752409,-101409 759780,-239190 773850,-337680 834820,-539350 1417050,-1342680 3179820,-3165750 5960010,-5956020 |
Duncan Moore |