A076574 a(0)=1 if n>0 a(n)=((-1)^(n+1)/(2*n+1)) * Sum_{k=0..n} 4^(6*k)*B(2*k)*C(2*n+1,2*k) where B(k) denotes the k-th Bernoulli number.

1, 683, 557875, 1633383863, 9367236055495, 87201869442139043, 1193374352393955942715, 22530375500983985686992623, 560996326873703660609079627535, 17810524140784329468678138258776603, 702197486713445227024853352779210997955, 33658995289547657928016986565441229668482983

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Prog

(PARI) a(n)=if(n<1, 1, ((-1)^(n+1)/(2*n+1))*sum(k=0, n, 4^(6*k)*bernfrac(2*k)*binomial(2*n+1, 2*k))) \\ Corrected by Jason Yuen, Apr 21 2025

Crossrefs

Sequence in context: A065123 A269486 A239272 * A344202 A015386 A245393

Adjacent sequences: A076571 A076572 A076573 * A076575 A076576 A076577

Keyword

nonn

Author

Benoit Cloitre, Oct 19 2002

Status

approved