A279640 Exponential transform of the seventh powers A001015.

1, 1, 129, 2572, 75053, 3228316, 129317797, 6067246144, 321040274585, 17868559819600, 1077981490855241, 69836621117631424, 4779269972787701701, 345917535629669229760, 26385854407691758178669, 2109071203770345994999936, 176264605227324999129677873

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..384

Formula

E.g.f.: exp(exp(x)*(x^7+21*x^6+140*x^5+350*x^4+301*x^3+63*x^2+x)).

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^7*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Crossrefs

Column k=7 of A279636.

Cf. A001015.

Sequence in context: A023876 A301551 A297493 * A327337 A305722 A189608

Adjacent sequences: A279637 A279638 A279639 * A279641 A279642 A279643

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved