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Search: id:A061166
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| A061166 |
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Polynomial extrapolation of 2, 3, 5, 7, 11, 13, 17. |
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+0
2
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| 2, 3, 5, 7, 11, 13, 17, 72, 332, 1139, 3129, 7361, 15469, 29837, 53797, 91850, 149910, 235571, 358397, 530235, 765551, 1081789, 1499753, 2044012, 2743328, 3631107, 4745873, 6131765, 7839057, 9924701, 12452893, 15495662, 19133482, 23455907
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n) =(23n^6-537n^5+4925n^4-22515n^3+53732n^2-61548n+27360)/720
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EXAMPLE
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a(8)=72 since first differences of (2,3,5,7,11,13,17) are (1,2,2,4,2,4), second differences (1,0,2,-2,2), third differences (-1,2,-4,4), fourth differences (3,-6,8), fifth differences (-9,14) and sixth differences (23) so a(8)=17+4+2+4+8+14+23=72.
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CROSSREFS
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Cf. A061165.
Sequence in context: A141263 A016114 A053434 this_sequence A003681 A029732 A037950
Adjacent sequences: A061163 A061164 A061165 this_sequence A061167 A061168 A061169
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 18 2001
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