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

0,3

Links

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

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)).

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);

Crossrefs

Column k=9 of A279636.

Cf. A001017.

Sequence in context: A023878 A301553 A297494 * A168118 A086030 A094647

Adjacent sequences: A279639 A279640 A279641 * A279643 A279644 A279645

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved