A279641 Exponential transform of the eighth powers A001016.

1, 1, 257, 7330, 289925, 18565676, 1042651237, 69221777920, 5270005429705, 415374654294352, 35626036180630121, 3293064510986584544, 320276195119275204493, 32969303384902657225792, 3579970600334581051222093, 406942001917387287570455296

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..366

Formula

E.g.f.: exp(exp(x)*(x^8+28*x^7+266*x^6+1050*x^5+1701*x^4+966*x^3 +127*x^2 +x)).

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^8*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Crossrefs

Column k=8 of A279636.

Cf. A001016.

Sequence in context: A000542 A023877 A301552 * A168116 A086022 A125649

Adjacent sequences: A279638 A279639 A279640 * A279642 A279643 A279644

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved