A334668 Numerator of Sum_{k=1..n} (-1)^(k+1)/k^7.

1, 127, 277877, 35566069, 2778634972433, 2778624972433, 2288319945032390119, 292904812254103669607, 640582959329009845430509, 640582894792751053318381, 12483149055863937257566687990151, 12483148704882733411491577990151, 783299081298153288298872171970695856067

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