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A279639 Exponential transform of the sixth powers A001014.

%I A279639 #4 Dec 16 2016 10:40:23
%S A279639 1,1,65,922,19685,572036,16379797,542459296,20028938953,787480005520,
%T A279639 33447797179721,1522102664036384,73362723948758125,
%U A279639 3738119667151161280,200625910519541044189,11290451562860730241216,664399657108812332697233,40781390340823661046136064
%N A279639 Exponential transform of the sixth powers A001014.
%H A279639 Alois P. Heinz, <a href="/A279639/b279639.txt">Table of n, a(n) for n = 0..405</a>
%F A279639 E.g.f.: exp(exp(x)*(x^6+15*x^5+65*x^4+90*x^3+31*x^2+x)).
%p A279639 a:= proc(n) option remember; `if`(n=0, 1,
%p A279639       add(binomial(n-1, j-1)*j^6*a(n-j), j=1..n))
%p A279639     end:
%p A279639 seq(a(n), n=0..25);
%Y A279639 Column k=6 of A279636.
%Y A279639 Cf. A001014.
%K A279639 nonn
%O A279639 0,3
%A A279639 _Alois P. Heinz_, Dec 16 2016