A279637 Exponential transform of the fourth powers A000583.

1, 1, 17, 130, 1445, 19676, 288517, 4768240, 86825545, 1707427792, 36133006121, 817372392464, 19631012216653, 498360729728512, 13320962518548973, 373554936371438896, 10956734043885307793, 335251566923262901760, 10675684185273726205393, 353052079426340899698736

Offset: 0

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..452

Crossrefs

Column k=4 of A279636.

Cf. A000583.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^4*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Formula

E.g.f.: exp(exp(x)*(x^4+6*x^3+7*x^2+x)).