A334605 Denominator of Sum_{k=1..n} (-1)^(k+1)/k^6.

1, 64, 46656, 2985984, 46656000000, 5184000000, 609892416000000, 39033114624000000, 256096265048064000000, 256096265048064000000, 453690155404813307904000000, 453690155404813307904000000, 2189875725319351517910798336000000

Offset

1,2

Comments

Lim_{n -> infinity} A136677(n)/a(n) = A275703 = (31/32)*A013664.

Links

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

Example

The first few fractions are: 1, 63/64, 45991/46656, 2942695/2985984, 45982595359/46656000000, 5109066151/5184000000, ... = A136677/A334605.

Mathematica

Denominator @ Accumulate[Table[(-1)^(k + 1)/k^6, {k, 1, 13}]] (* Amiram Eldar, May 07 2020 *)

Prog

(PARI) a(n) = denominator(sum(k=1, n, (-1)^(k+1)/k^6)); \\ Michel Marcus, May 07 2020

Crossrefs

Cf. A013664, A136677 (numerators), A275703.

Sequence in context: A283924 A016830 A249076 * A103346 A123394 A069445

Adjacent sequences: A334602 A334603 A334604 * A334606 A334607 A334608

Keyword

nonn,frac

Author

Petros Hadjicostas, May 07 2020

Status

approved