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A334668 Numerator of Sum_{k=1..n} (-1)^(k+1)/k^7. 3
1, 127, 277877, 35566069, 2778634972433, 2778624972433, 2288319945032390119, 292904812254103669607, 640582959329009845430509, 640582894792751053318381, 12483149055863937257566687990151, 12483148704882733411491577990151, 783299081298153288298872171970695856067 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Lim_{n -> infinity} a(n)/A334669(n) = A275710 = (63/64)*A013665.

LINKS

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

EXAMPLE

The first few fractions are 1, 127/128, 277877/279936, 35566069/35831808, 2778634972433/2799360000000, 2778624972433/2799360000000, ... = A334668/A334669.

MATHEMATICA

Numerator @ Accumulate[Table[(-1)^(k + 1)/k^7, {k, 1, 13}]] (* Amiram Eldar, May 08 2020 *)

PROG

(PARI) a(n) = numerator(sum(k=1, n, (-1)^(k+1)/k^7)); \\ Michel Marcus, May 08 2020

CROSSREFS

Cf. A013665, A275710, A334669 (denominators).

Sequence in context: A195218 A215692 A212860 * A135813 A112016 A263165

Adjacent sequences:  A334665 A334666 A334667 * A334669 A334670 A334671

KEYWORD

nonn,frac

AUTHOR

Petros Hadjicostas, May 07 2020

STATUS

approved

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Last modified June 25 10:09 EDT 2021. Contains 345453 sequences. (Running on oeis4.)