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 A075909 #8 Jan 01 2018 04:21:36 %S A075909 1,84,4256,169344,5843712,183794688,5421678592,152720375808, %T A075909 4157366140928,110282217357312,2867778350481408,73424436820180992, %U A075909 1857023919127527424,46511918954689069056,1155904251854380335104 %N A075909 Sixth column of triangle A075499. %C A075909 The e.g.f. given below is Sum_{m=0..5} A075513(6,m)*exp(4*(m+1)*x)/5!. %F A075909 a(n) = A075499(n+6, 6) = (4^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2). %F A075909 a(n) = Sum_{m=0..5} A075513(6, m)*((m+1)*4)^n/5!. %F A075909 G.f.: 1/Product_{k=1..6} (1 - 4*k*x). %F A075909 E.g.f.: (d^6/dx^6)(((exp(4*x)-1)/4)^6)/6! = (-exp(4*x) + 160*exp(8*x) - 2430*exp(12*x) + 10240*exp(16*x) - 15625*exp(20*x) + 7776*exp(24*x))/5!. %Y A075909 Cf. A075908, A075910. %K A075909 nonn,easy %O A075909 0,2 %A A075909 _Wolfdieter Lang_, Oct 02 2002