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A279637
Exponential transform of the fourth powers A000583.
3
1, 1, 17, 130, 1445, 19676, 288517, 4768240, 86825545, 1707427792, 36133006121, 817372392464, 19631012216653, 498360729728512, 13320962518548973, 373554936371438896, 10956734043885307793, 335251566923262901760, 10675684185273726205393, 353052079426340899698736
OFFSET
0,3
LINKS
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Dec 16 2016
STATUS
approved