A188060 Numerator of 8^(2n-1) |B(2n)| / (2n)!, where B() are the Bernoulli numbers.

8, 128, 4096, 32768, 1048576, 11593056256, 536870912, 7767448354816, 3014517285978112, 191986824837595136, 2733227576976736256, 66530577009460375453696, 5926115612870995607552, 488951148984934932554973184, 7946710949908368748447692488704, 71105936114697022329949662478336

Offset

1,1

Comments

Start with zeta(2n) = (2Pi)^(2n) |B(2n)| /(2 (2n)!) and replace Pi by 4 arctan(1) and take the numerator of the rational part. The denominator is given by A036278.

Links

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

Example

8/3,128/45,4096/945,32768/4725,...

Maple

 f:=n->8^(2*n)*abs(B(2*n))/(2*(2*n)!); [seq(numer(f(n)), n=1..60)];

Crossrefs

Cf. A002432, A046988, A036278.

Sequence in context: A356972 A219264 A349263 * A104997 A265097 A027951

Adjacent sequences: A188057 A188058 A188059 * A188061 A188062 A188063

Keyword

nonn

Author

Eric Desbiaux, Apr 15 2011

Extensions

Entry revised by N. J. A. Sloane, Apr 17 2011

Status

approved