A130417 Denominator of partial sums for a series of (17/18)*Zeta(4)= (17/1680)*Pi^4.

1, 48, 6480, 725760, 12960000, 2993760000, 13349175840000, 213586813440000, 98036347368960000, 1862690600010240000, 2479241188613629440000, 57022547338113477120000, 125278536501835309232640000, 2556704826568067535360000, 19511694729072094348800000, 183878211126775417143091200000

Offset

1,2

References

For the rationals r(n), a reference and a W. Lang link see A130416.

Links

Table of n, a(n) for n=1..16.

Formula

a(n) = denominator(r(n)), n >= 1, with r(n) := 2*Sum_{k=1..n} 1/((k^4)*binomial(2*k,k)).

Prog

(PARI) a(n) = denominator(2*sum(k=1, n, 1/((k^4)*binomial(2*k, k)))); \\ Michel Marcus, Nov 09 2019

Crossrefs

Numerators are given by A130416.

Sequence in context: A276098 A233242 A266045 * A299943 A226257 A293094

Adjacent sequences: A130414 A130415 A130416 * A130418 A130419 A130420

Keyword

nonn,frac,easy

Author

Wolfdieter Lang, Jul 13 2007

Extensions

More terms from Michel Marcus, Nov 09 2019

Status

approved