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.

A075920 Seventh column of triangle A075501.

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%I A075920 #7 Dec 27 2017 01:33:25
%S A075920 1,168,16632,1270080,82927152,4878631296,266658822144,13809041326080,
%T A075920 686528482768128,33073815190800384,1554470788616718336,
%U A075920 71638807647968870400,3249771974096785403904,145542549641019667218432
%N A075920 Seventh column of triangle A075501.
%C A075920 The e.g.f. given below is Sum_{m=0..6} A075513(7,m)exp(6*(m+1)*x)/6!.
%F A075920 a(n) = A075501(n+7, 7) = (6^n)S2(n+7, 7) with S2(n, m) := A008277(n, m) (Stirling2).
%F A075920 a(n) = Sum_{m=0..6} A075513(7, m)*((m+1)*6)^n/6!.
%F A075920 G.f.: 1/Product_{k=1..7} (1 - 6*k*x).
%F A075920 E.g.f.: (d^7/dx^7)(((exp(6*x)-1)/6)^7)/7! = (exp(6*x) - 384*exp(12*x) + 10935*exp(18*x) - 81920*exp(24*x) + 234375*exp(30x) - 279936*exp(36*x) + 117649*exp(42*x))/6!.
%Y A075920 Cf. A075919.
%K A075920 nonn,easy
%O A075920 0,2
%A A075920 _Wolfdieter Lang_, Oct 02 2002