OFFSET
0,3
COMMENTS
In 1997, Matiyasevich found the following identity;
(n+2) * Sum_{k=2..n-2} B_k*B_{n-k} - 2 * Sum_{k=2..n-2} binomial(n+2, k)*B_k*B_{n-k} = n*(n+1)*B_n for n > 3.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..500
Y. Matiyasevich, Identities with Bernoulli numbers, 1997.
Hao Pan and Zhi-Wei Sun, New identities involving Bernoulli and Euler polynomials, Journal of Combinatorial Theory, Series A Volume 113, Issue 1, January 2006, Pages 156-175.
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Seiichi Manyama, Aug 05 2017
STATUS
approved