A279643 Exponential transform of the tenth powers A008454.

1, 1, 1025, 62122, 4436645, 635999636, 70891240117, 9361749284896, 1491531423411913, 235989968039151760, 40944833826904310921, 7754112338325635303264, 1525672210381158739381165, 318496972975593582426074560, 70389888724665631249754800189

Offset: 0

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..332

Crossrefs

Column k=10 of A279636.

Cf. A008454.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^10*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Formula

E.g.f.: exp(exp(x)*(x^10+45*x^9+750*x^8+5880*x^7+22827*x^6+42525*x^5 +34105*x^4 +9330*x^3 +511*x^2+x)).