A075918 - OEIS

%I #8 Dec 27 2017 01:32:48

%S 1,90,5040,226800,9008496,330674400,11511434880,386143718400,

%T 12611398415616,403864019919360,12744269679697920,397694704355020800,

%U 12304809943691636736,378212825199337758720,11565710925825703772160

%N Fifth column of triangle A075501.

%C The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(6*(m+1)*x)/4!.

%F a(n) = A075501(n+5, 5) = (6^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).

%F a(n) = Sum_{m=0..4} A075513(5, m)*((m+1)*6)^n/4!.

%F G.f.: 1/Product_{k=1..5} (1 - 6*k*x).

%F E.g.f.: (d^5/dx^5)(((exp(6*x)-1)/6)^5)/5! = (exp(6*x) - 64*exp(12*x) + 486*exp(18*x) - 1024*exp(24*x) + 625*exp(30*x))/4!.

%Y Cf. A075917, A075919.

%K nonn,easy

%O 0,2

%A _Wolfdieter Lang_, Oct 02 2002