A279642 Exponential transform of the ninth powers A001017.

1, 1, 513, 21220, 1130381, 108174916, 8543324917, 800980035472, 88064461381913, 9832425683734288, 1199454069536074601, 158528649288125900224, 21925314644323181005477, 3213026006947537325856832, 497390236613387084643144029, 80481275337746709959509939456

Offset: 0

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..348

Crossrefs

Column k=9 of A279636.

Cf. A001017.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^9*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Formula

E.g.f.: exp(exp(x)*(x^9+36*x^8+462*x^7+2646*x^6+6951*x^5+7770*x^4 +3025*x^3 +255*x^2+x)).