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.

A075919 Sixth column of triangle A075501.

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%I A075919 #8 Dec 27 2017 01:33:16
%S A075919 1,126,9576,571536,29583792,1395690912,61756307712,2609370796032,
%T A075919 106548747072768,4239618914539008,165370550603102208,
%U A075919 6351034526066700288,240942052882092847104,9052126728954680254464
%N A075919 Sixth column of triangle A075501.
%C A075919 The e.g.f. given below is Sum_{m=0..5} A075513(6,m)*exp(6*(m+1)*x)/5!.
%F A075919 a(n) = A075501(n+6, 6) = (6^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
%F A075919 a(n) = Sum_{m=0..5} A075513(6, m)*((m+1)*6)^n/5!.
%F A075919 G.f.: 1/Product_{k=1..6} (1 - 6*k*x).
%F A075919 E.g.f.: (d^6/dx^6)(((exp(6*x)-1)/6)^6)/6! = (-exp(6*x) + 160*exp(12*x) - 2430*exp(18*x) + 10240*exp(24*x) - 15625*exp(30*x) + 7776*exp(36*x))/5!.
%Y A075919 Cf. A075918, A075920.
%K A075919 nonn,easy
%O A075919 0,2
%A A075919 _Wolfdieter Lang_, Oct 02 2002