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A136676 Numerator of Sum (-1)^(k+1)*1/k^5, k = 1..n. 8
1, 31, 7565, 241837, 755989457, 755889457, 12705011703799, 406547611705943, 98792790681344149, 98791774426324117, 15910615688635928566967, 15910549913780913466967, 5907492176026179821253778331 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) is prime for n = {2,19,51,78,84,130,...} = A136685.

LINKS

Table of n, a(n) for n=1..13.

Eric Weisstein, The World of Mathematics: Harmonic Number

MATHEMATICA

Table[ Numerator[ Sum[ (-1)^(k+1)*1/k^5, {k, 1, n} ] ], {n, 1, 30} ]

CROSSREFS

Cf. A058313, A119682, A120296, A136675, A136677. Cf. A001008, A007406, A007408, A007410, A099828, A103345. Cf. A136681, A136682, A136683, A136684, A136685, A136686.

Sequence in context: A306840 A212858 A059384 * A135811 A119598 A139295

Adjacent sequences:  A136673 A136674 A136675 * A136677 A136678 A136679

KEYWORD

frac,nonn

AUTHOR

Alexander Adamchuk, Jan 16 2008

STATUS

approved

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Last modified November 12 09:25 EST 2019. Contains 329054 sequences. (Running on oeis4.)