A334734 Denominator of Sum_{k=1..n} k^4 / Product_{k=1..n} k^4.

1, 16, 648, 55296, 207360000, 10749542400, 23044331520000, 220242357780480000, 5780040437590917120000, 3538800267912806400000000, 115398507336502660300800000000, 5264387585885382160794255360000000, 1835850718442886445597615718400000000

Offset

1,2

Links

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

Example

The first few fractions are 1, 17/16, 49/648, 59/55296, 979/207360000, 91/10749542400, 167/23044331520000, ... = A181426/A334734.

Prog

(PARI) a(n) = denominator(sum(k=1, n, k^4)/prod(k=1, n, k^4)); \\ Michel Marcus, May 09 2020

Crossrefs

Cf. A166604, A181426 (numerators).

Sequence in context: A162546 A328274 A249950 * A220298 A222916 A346181

Adjacent sequences: A334731 A334732 A334733 * A334735 A334736 A334737

Keyword

nonn,frac

Author

Petros Hadjicostas, May 09 2020

Status

approved