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 A076003 #8 Dec 27 2017 01:34:53 %S A076003 1,48,1600,46080,1232896,31653888,792985600,19566428160,478167433216, %T A076003 11613323132928,280917704704000,6777200695050240,163215697915150336, %U A076003 3926183399462535168,94372512377130188800 %N A076003 Third column of triangle A075503. %C A076003 The e.g.f. given below is Sum_{m=0..2} A075513(3,m)*exp(8*(m+1)*x)/2!. %F A076003 a(n) = A075503(n+3, 3) = (8^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2). %F A076003 a(n) = (8^n - 8*16^n + 9*24^n)/2. %F A076003 G.f.: 1/Product_{k=1..3} (1 - 8*k*x). %F A076003 E.g.f.: (d^3/dx^3)(((exp(8*x)-1)/8)^3)/3! = (exp(8*x) - 8*exp(16*x) + 9*exp(24*x))/2!. %Y A076003 Cf. A060195, A076004. %K A076003 nonn,easy %O A076003 0,2 %A A076003 _Wolfdieter Lang_, Oct 02 2002