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A136676
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Numerator of Sum_{k=1..n} (-1)^(k+1)/k^5.
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10
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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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COMMENTS
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LINKS
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EXAMPLE
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The first few fractions are 1, 31/32, 7565/7776, 241837/248832, 755989457/777600000, 755889457/777600000, ... = a(n)/A334604(n). - Petros Hadjicostas, May 07 2020
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MATHEMATICA
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Table[ Numerator[ Sum[ (-1)^(k+1)/k^5, {k, 1, n} ] ], {n, 1, 30} ]
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PROG
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(PARI) a(n) = numerator(sum(k=1, n, (-1)^(k+1)/k^5)); \\ Michel Marcus, May 07 2020
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CROSSREFS
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Cf. A001008, A007406, A007408, A007410, A013663, A058313, A099828, A103345, A119682, A120296, A136675, A136677, A136681, A136682, A136683, A136684, A136685, A136686, A267316, A334604 (denominators).
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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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