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%I #8 Jan 01 2018 04:21:44
%S 1,84,4158,158760,5182947,152457228,4166544096,107883135360,
%T 2681751885813,64597295294532,1518037879508514,34979886546859800,
%U 793401360863472999,17766424516726033596,393690756719422620612
%N Seventh column of triangle A075498.
%C The e.g.f. given below is Sum_{m=0..6} A075513(7,m)*exp(3*(m+1)*x)/6!.
%F a(n) = A075498(n+7, 7) = (3^n)*S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
%F a(n) = Sum_{m=0..6} A075513(7, m)*((m+1)*3)^n/6!.
%F G.f.: 1/Product_{k=1..7} (1 - 3*k*x).
%F E.g.f.: (d^7/dx^7)(((exp(3*x)-1)/3)^7)/7! = (exp(3*x) - 384*exp(6*x) + 10935*exp(9*x) - 81920*exp(12*x) + 234375*exp(15*x) - 279936*exp(18*x) + 117649*exp(21*x))/6!.
%Y Cf. A075516.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 02 2002
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