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Search: id:A136675
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| A136675 |
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Numerator of Sum (-1)^(k+1)*1/k^3, k = 1..n. |
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+0
9
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| 1, 7, 197, 1549, 195353, 194353, 66879079, 533875007, 14436577189, 14420574181, 19209787242911, 19197460851911, 42198121495296467, 6025866788581781, 6027847576222613, 48209723660000029, 236907853607882606477
(list; graph; listen)
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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 = {2,3,4,5,6,9,20,21,29,119,132,151,...} = A136683.
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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^3, {k, 1, n} ] ], {n, 1, 50} ]
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CROSSREFS
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Cf. A058313, A119682, A120296, A136676, A136677. Cf. A001008, A007406, A007408, A007410, A099828, A103345. Cf. A136681, A136682, A136683, A136684, A136685, A136686.
Adjacent sequences: A136672 A136673 A136674 this_sequence A136676 A136677 A136678
Sequence in context: A128786 A034835 A041371 this_sequence A099198 A058391 A068233
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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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