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.

A075917 Fourth column of triangle A075501.

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%I A075917 #9 Jan 01 2018 04:38:23
%S A075917 1,60,2340,75600,2204496,60419520,1591202880,40800672000,
%T A075917 1027086863616,25522067450880,628349082117120,15366613964083200,
%U A075917 373968813041012736,9068526888588656640,219326169845571010560
%N A075917 Fourth column of triangle A075501.
%C A075917 The e.g.f. given below is Sum_{m=0..3} A075513(4,m)*exp(6*(m+1)*x)/3!.
%F A075917 a(n) = A075501(n+4, 4) = (6^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).
%F A075917 a(n) = Sum_{m=0..3} A075513(4, m)*((m+1)*6)^n/3!.
%F A075917 G.f.: 1/Product_{k=1..4} (1 - 6*k*x).
%F A075917 E.g.f.: (d^4/dx^4)(((exp(6*x)-1)/6)^4)/4! = (-exp(6*x) + 24*exp(12*x) - 81*exp(18*x) + 64*exp(24*x))/3!.
%Y A075917 Cf. A075916, A075918.
%K A075917 nonn,easy
%O A075917 0,2
%A A075917 _Wolfdieter Lang_, Oct 02 2002