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%I #4 Dec 16 2016 10:28:16
%S 1,1,33,340,5261,104116,2133397,49873552,1290339353,35858779408,
%T 1073946466601,34411135594144,1169673799665637,42024908270673472,
%U 1589960095129885949,63097191029229655456,2618689624916494795313,113366790415884862467328,5107030221925521874906705
%N Exponential transform of the fifth powers A000584.
%H Alois P. Heinz, <a href="/A279638/b279638.txt">Table of n, a(n) for n = 0..428</a>
%F E.g.f.: exp(exp(x)*(x^5+10*x^4+25*x^3+15*x^2+x)).
%p a:= proc(n) option remember; `if`(n=0, 1,
%p add(binomial(n-1, j-1)*j^5*a(n-j), j=1..n))
%p end:
%p seq(a(n), n=0..25);
%Y Column k=5 of A279636.
%Y Cf. A000584.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Dec 16 2016
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