A279639 Exponential transform of the sixth powers A001014.

1, 1, 65, 922, 19685, 572036, 16379797, 542459296, 20028938953, 787480005520, 33447797179721, 1522102664036384, 73362723948758125, 3738119667151161280, 200625910519541044189, 11290451562860730241216, 664399657108812332697233, 40781390340823661046136064

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..405

Formula

E.g.f.: exp(exp(x)*(x^6+15*x^5+65*x^4+90*x^3+31*x^2+x)).

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^6*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Crossrefs

Column k=6 of A279636.

Cf. A001014.

Sequence in context: A301550 A027463 A305264 * A144500 A086021 A168029

Adjacent sequences: A279636 A279637 A279638 * A279640 A279641 A279642

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved