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
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..332
Programs
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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)).