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

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

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

Crossrefs

Column k=6 of A279636.

Cf. A001014.

Programs

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);

Formula

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