A383073 a(n) = [x^n] Product_{k=1..n} (1 + x^k)^binomial(n,k).

1, 1, 2, 11, 69, 552, 5133, 53804, 626440, 7979043, 110074741, 1631532542, 25813521836, 433619035254, 7698641650937, 143908414079881, 2822753485000135, 57930283521990154, 1240695879627856673, 27666701629865989070, 641049490249340264699

Offset: 0

Author

Vaclav Kotesovec, Apr 15 2025

Keywords

• nonn

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A360660.

Cf. A026007, A102866, A344130, A369578.

Programs

Mathematica

Table[SeriesCoefficient[Product[(1 + x^k)^Binomial[n, k], {k, 1, n}], {x, 0, n}], {n, 0, 20}]