A362998 a(n) = Sum_{k=0..2*n} R(2*n, k, 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, 14, 867, 191476, 92323925, 78056422494, 102352057350319, 192403045957195112, 490874140662802917417, 1632516441577827373044370, 6861835036233587237791174211, 35570322051950868085847089286364, 222935341340851671535556256425205757, 1661810870170209385499116531813558149446

Offset

0,2

Comments

See A363000 for a discussion of the polynomials.

Links

Table of n, a(n) for n=0..13.

Maple

# See A363000 for a program.

Crossrefs

Cf. A363000.

Sequence in context: A064345 A269335 A159871 * A340259 A269610 A115458

Adjacent sequences: A362995 A362996 A362997 * A362999 A363000 A363001

Keyword

nonn

Author

Peter Luschny, May 12 2023

Status

approved