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Search: id:A136676
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| A136676 |
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Numerator of Sum (-1)^(k+1)*1/k^5, k = 1..n. |
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+0
9
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| 1, 31, 7565, 241837, 755989457, 755889457, 12705011703799, 406547611705943, 98792790681344149, 98791774426324117, 15910615688635928566967, 15910549913780913466967, 5907492176026179821253778331
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OFFSET
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1,2
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COMMENT
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a(n) is prime for n = {2,19,51,78,84,130,...} = A136685.
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LINKS
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Eric Weisstein, The World of Mathematics: Harmonic Number
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MATHEMATICA
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Table[ Numerator[ Sum[ (-1)^(k+1)*1/k^5, {k, 1, n} ] ], {n, 1, 30} ]
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CROSSREFS
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Cf. A058313, A119682, A120296, A136675, A136677. Cf. A001008, A007406, A007408, A007410, A099828, A103345. Cf. A136681, A136682, A136683, A136684, A136685, A136686.
Adjacent sequences: A136673 A136674 A136675 this_sequence A136677 A136678 A136679
Sequence in context: A090681 A065756 A059384 this_sequence A135811 A119598 A139295
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KEYWORD
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frac,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 16 2008
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