A362999 a(n) = denominator(R(2*n + 1, 2*n + 1, 1)) where R(n, k, x) = Sum_{u=0..k} ( Sum_{j=0..u} x^j * binomial(u, j) * (j + 1)^n ) / (u + 1).

2, 3, 15, 105, 315, 3465, 45045, 9009, 153153, 14549535, 14549535, 19684665, 1673196525, 5019589575, 145568097675, 4512611027925, 4512611027925, 4512611027925, 166966608033225, 316824683175, 6845630929362225, 294362129962575675, 294362129962575675, 13835020108241056725

Offset

0,1

Comments

See A363000 for a discussion of the polynomials.

Links

Table of n, a(n) for n=0..23.

Maple

# See A363000 for a program.

Crossrefs

Cf. A363001 (all denominators), A363000.

Sequence in context: A107413 A358119 A238711 * A165657 A091835 A131612

Adjacent sequences: A362996 A362997 A362998 * A363000 A363001 A363002

Keyword

nonn,frac

Author

Peter Luschny, May 12 2023

Status

approved