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

0,3

Links

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

Formula

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

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);

Crossrefs

Column k=5 of A279636.

Cf. A000584.

Sequence in context: A081932 A121994 A093743 * A209359 A264282 A167963

Adjacent sequences: A279635 A279636 A279637 * A279639 A279640 A279641

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved