A276594 Numerator of the rational part of the sum of reciprocals of even powers of even numbers, i.e., Sum_{k>=1} 1/(2*k)^(2*n).

1, 1, 1, 1, 1, 691, 1, 3617, 43867, 174611, 77683, 236364091, 657931, 3392780147, 1723168255201, 7709321041217, 151628697551, 26315271553053477373, 154210205991661, 261082718496449122051, 1520097643918070802691, 2530297234481911294093

Offset: 1

Author

Martin Renner, Sep 07 2016

Keywords

• nonn
• frac

Crossrefs

Cf. A002432, A046988, A276592, A276593, A276595.

Programs

Maple

seq(numer(sum(1/(2*k)^(2*n),k=1..infinity)/Pi^(2*n)),n=1..24);

Formula

A276592(n)/A276593(n) + a(n)/A276595(n) = A046988(n)/A002432(n).