A363001 a(n) = denominator(R(n, n, 1)) where R(n, k, x) = Sum_{u=0..k} ( Sum_{j=0..u} x^j * binomial(u, j) * (j + 1)^n ) / (u + 1).

1, 2, 2, 3, 2, 15, 2, 105, 2, 315, 2, 3465, 2, 45045, 2, 9009, 2, 153153, 2, 14549535, 2, 14549535, 2, 19684665, 2, 1673196525, 2, 5019589575, 2, 145568097675, 2, 4512611027925, 2, 4512611027925, 2, 4512611027925, 2, 166966608033225, 2, 316824683175, 2, 6845630929362225

Offset

0,2

Comments

See A363000 for a discussion of the polynomials.

Links

Table of n, a(n) for n=0..41.

Maple

# See A363000 for a program.

Crossrefs

Cf. A363000 (numerators), A362999 (odd-indexed denominators).

Sequence in context: A334663 A016008 A334514 * A334513 A016009 A110088

Adjacent sequences: A362998 A362999 A363000 * A363002 A363003 A363004

Keyword

nonn,frac

Author

Peter Luschny, May 12 2023

Status

approved