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.
%I A075918 #8 Dec 27 2017 01:32:48 %S A075918 1,90,5040,226800,9008496,330674400,11511434880,386143718400, %T A075918 12611398415616,403864019919360,12744269679697920,397694704355020800, %U A075918 12304809943691636736,378212825199337758720,11565710925825703772160 %N A075918 Fifth column of triangle A075501. %C A075918 The e.g.f. given below is Sum_{m=0..4} A075513(5,m)*exp(6*(m+1)*x)/4!. %F A075918 a(n) = A075501(n+5, 5) = (6^n)*S2(n+5, 5) with S2(n, m) := A008277(n, m) (Stirling2). %F A075918 a(n) = Sum_{m=0..4} A075513(5, m)*((m+1)*6)^n/4!. %F A075918 G.f.: 1/Product_{k=1..5} (1 - 6*k*x). %F A075918 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 A075918 Cf. A075917, A075919. %K A075918 nonn,easy %O A075918 0,2 %A A075918 _Wolfdieter Lang_, Oct 02 2002