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

0,3

Links

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

Formula

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

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);

Crossrefs

Column k=4 of A279636.

Cf. A000583.

Sequence in context: A341397 A229516 A352114 * A179818 A138640 A142676

Adjacent sequences: A279634 A279635 A279636 * A279638 A279639 A279640

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved