A279638 Exponential transform of the fifth powers A000584.

1, 1, 33, 340, 5261, 104116, 2133397, 49873552, 1290339353, 35858779408, 1073946466601, 34411135594144, 1169673799665637, 42024908270673472, 1589960095129885949, 63097191029229655456, 2618689624916494795313, 113366790415884862467328, 5107030221925521874906705

Offset: 0

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..428

Crossrefs

Column k=5 of A279636.

Cf. A000584.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^5*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Formula

E.g.f.: exp(exp(x)*(x^5+10*x^4+25*x^3+15*x^2+x)).