A238164 2^floor(log[2](n+1))*(2*n+1)!*Bernoulli(2*n,1/2).

1, -1, 7, -465, 48006, -12072375, 6301495035, -12203470904625, 20180112406353900, -53495387545025175750, 216267236072968468547250, -1280630367874799320798794375, 10743714652441927865738713818750, -124178158916511109662405449217796875, 1930915681227482441797773554892002071875

Offset: 0

Author

M. F. Hasler, Feb 18 2014

Keywords

• sign

Comments

Motivated by the original definition of A033473 which turned out to produce a non-integer sequence.

Links

• M. F. Hasler, Table of n, a(n) for n = 0..50
• Index entries for sequences related to Bernoulli numbers.

Programs

PARI

n->(2*n+1)!*subst(bernpol(2*n,x),x,1/2)<<(log(n+1)\log(2))