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A290534 Denominator of 2*n*(2*n+1) B_{2*n}, where B_n are the Bernoulli numbers. 1
1, 1, 3, 1, 5, 3, 35, 1, 15, 7, 11, 3, 91, 1, 15, 77, 85, 3, 8645, 1, 33, 1, 23, 3, 1105, 11, 15, 133, 145, 3, 31031, 1, 51, 161, 5, 33, 319865, 1, 15, 7, 7667, 3, 16211, 1, 345, 6479, 235, 3, 7735, 1, 33, 7, 53, 3, 319865, 23, 7395, 7, 295, 3, 7055321, 1, 3, 817 (list; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A294640 A365671 A200920 * A242639 A117853 A104734
KEYWORD
nonn,frac
AUTHOR
Seiichi Manyama, Aug 05 2017
STATUS
approved

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)