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A136677
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Numerator of Sum_{k=1..n} (-1)^(k+1)/k^6.
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11
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1, 63, 45991, 2942695, 45982595359, 5109066151, 601081707598999, 38469080386820311, 252396118308232060471, 252395862211967012407, 447134922152359540530757327, 447134770212444455649757327, 2158234586764514215343657417779543, 308319185132349039219686748825649
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OFFSET
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1,2
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COMMENTS
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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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EXAMPLE
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The first few fractions are 1, 63/64, 45991/46656, 2942695/2985984, 45982595359/46656000000, 5109066151/5184000000, ... = a(n)/A334605(n). - Petros Hadjicostas, May 07 2020
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MATHEMATICA
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Table[ Numerator[ Sum[ (-1)^(k+1)/k^6, {k, 1, n} ] ], {n, 1, 30} ]
Accumulate[Table[(-1)^(k+1)/k^6, {k, 20}]]//Numerator (* Harvey P. Dale, Aug 21 2023 *)
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CROSSREFS
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KEYWORD
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frac,nonn
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AUTHOR
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STATUS
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approved
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