A242035 The numerator of h(n-k)*h(k)/h(n) where h(x) = zeta(2*x)*(4^x-2) and k = floor(n/2).

1, 1, 5, 49, 343, 341, 1374230, 562991, 117628797, 5722552563, 274111769750, 767094923209, 29727071936873882, 860722536439030, 65045120396044500, 1850097086237495825037, 16555136396811464938269, 962684710425111932621, 29167062964422333027973288250

Offset: 0

Author

Peter Luschny, Aug 12 2014

Keywords

• nonn
• frac

Crossrefs

Cf. A246053 (denominator), A242050, A246051, A246052.

Programs

Sage

h = lambda x: zeta(2*x)*(4^x-2)
A242035 = lambda n: Integer((h((n+1)//2)*h(n//2)/h(n)).numerator())
[A242035(n) for n in range(19)]