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 A075916 #8 Jan 01 2018 04:21:21 %S A075916 1,36,900,19440,390096,7511616,141134400,2611802880,47870735616, %T A075916 871982724096,15819463296000,286235993272320,5170077903015936, %U A075916 93275375604350976,1681524519443251200,30298254922942709760 %N A075916 Third column of triangle A075501. %C A075916 The e.g.f. given below is Sum_{m=0..2} A075513(3,m)*exp(6*(m+1)*x)/2!. %F A075916 a(n) = A075501(n+3, 3) = (6^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2). %F A075916 a(n) = (6^n - 8*12^n + 9*18^n)/2. %F A075916 G.f.: 1/Product_{k=1..3} (1 - 6*k*x). %F A075916 E.g.f.: (d^3/dx^3)(((exp(6*x)-1)/6)^3)/3! = (exp(6*x) - 8*exp(12*x) + 9*exp(18*x))/2!. %Y A075916 Cf. A016175, A075917. %K A075916 nonn,easy %O A075916 0,2 %A A075916 _Wolfdieter Lang_, Oct 02 2002