login
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).
3

%I #12 Jul 16 2017 15:17:59

%S 1,1,1,1,1,691,1,3617,43867,174611,77683,236364091,657931,3392780147,

%T 1723168255201,7709321041217,151628697551,26315271553053477373,

%U 154210205991661,261082718496449122051,1520097643918070802691,2530297234481911294093

%N 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).

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

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

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

%K nonn,frac

%O 1,6

%A _Martin Renner_, Sep 07 2016