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Search: id:A136677
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| A136677 |
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Numerator of Sum (-1)^(k+1)*1/k^6, k = 1..n. |
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+0
9
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| 1, 63, 45991, 2942695, 45982595359, 5109066151, 601081707598999, 38469080386820311, 252396118308232060471, 252395862211967012407, 447134922152359540530757327, 447134770212444455649757327
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OFFSET
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1,2
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COMMENT
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p divides a(p-1) for prime p>2. a(n) is prime for n = {19,47,164,...} = A136686.
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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^6, {k, 1, n} ] ], {n, 1, 30} ]
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CROSSREFS
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Cf. A058313, A119682, A120296, A136675, A136676. Cf. A001008, A007406, A007408, A007410, A099828, A103345. Cf. A136681, A136682, A136683, A136684, A136685, A136686.
Sequence in context: A132594 A001238 A110852 this_sequence A135812 A069452 A132591
Adjacent sequences: A136674 A136675 A136676 this_sequence A136678 A136679 A136680
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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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