cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A075908 Fifth column of triangle A075499.

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%I A075908 #8 Jan 01 2018 04:23:35
%S A075908 1,60,2240,67200,1779456,43545600,1010606080,22600089600,492077121536,
%T A075908 10505429975040,221005133905920,4597756408627200,94837435443183616,
%U A075908 1943344895628410880,39618196941842677760
%N A075908 Fifth column of triangle A075499.
%C A075908 The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(4*(m+1)*x)/4!.
%F A075908 a(n) = A075499(n+5, 5) = (4^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2).
%F A075908 a(n) = Sum_{m=0..4} A075513(5, m)*((m+1)*4)^n/4!.
%F A075908 G.f.: 1/Product_{k=1..5} (1 - 4*k*x).
%F A075908 E.g.f.: (d^5/dx^5)(((exp(4*x)-1)/4)^5)/5! = (exp(4*x) - 64*exp(8*x) + 486*exp(12*x) - 1024*exp(16*x) + 625*exp(20*x))/4!.
%Y A075908 Cf. A075907, A075909.
%K A075908 nonn,easy
%O A075908 0,2
%A A075908 _Wolfdieter Lang_, Oct 02 2002