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

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

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

Crossrefs

Column k=7 of A279636.

Cf. A001015.

Programs

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);

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)).