A279643 Exponential transform of the tenth powers A008454.

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

Offset

0,3

Links

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

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)).

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);

Crossrefs

Column k=10 of A279636.

Cf. A008454.

Sequence in context: A294305 A036088 A023002 * A168119 A272672 A180270

Adjacent sequences: A279640 A279641 A279642 * A279644 A279645 A279646

Keyword

nonn

Author

Alois P. Heinz, Dec 16 2016

Status

approved