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%I #8 Jan 01 2018 04:21:21
%S 1,36,900,19440,390096,7511616,141134400,2611802880,47870735616,
%T 871982724096,15819463296000,286235993272320,5170077903015936,
%U 93275375604350976,1681524519443251200,30298254922942709760
%N Third column of triangle A075501.
%C The e.g.f. given below is Sum_{m=0..2} A075513(3,m)*exp(6*(m+1)*x)/2!.
%F a(n) = A075501(n+3, 3) = (6^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2).
%F a(n) = (6^n - 8*12^n + 9*18^n)/2.
%F G.f.: 1/Product_{k=1..3} (1 - 6*k*x).
%F E.g.f.: (d^3/dx^3)(((exp(6*x)-1)/6)^3)/3! = (exp(6*x) - 8*exp(12*x) + 9*exp(18*x))/2!.
%Y Cf. A016175, A075917.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Oct 02 2002
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