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 A112008 #7 Oct 09 2012 04:35:08 %S A112008 1,52,1452,32120,644020,12440064,238904904,4642163952,92199790224, %T A112008 1883079661824,39689578055808,865023253219584,19515249341231616, %U A112008 455924361142656000,11030149104146035200,276260563641659673600 %N A112008 Fourth diagonal of second-order Eulerian triangle A008517. Fourth column (m=3) of triangle A112007. %F A112008 a(n)=A112007(n+3, 3), n>=0. %F A112008 a(n)= (n+7)*a(n-1) + (n+1)*A002539(n+1), n>=1, a(0)=1. %F A112008 Contribution from _Johannes W. Meijer_, Oct 16 2009: (Start) %F A112008 a(n) = sum((-1)^(n+k)*binomial(2*n+9,k)*stirling1(n-k+8,4-k), k=0..3) %F A112008 (End) %e A112008 1452= a(2) = 9*52 + 3*328. %Y A112008 Cf. A002539 (3rd diagonal of A008517; third column of A112007). %Y A112008 Contribution from _Johannes W. Meijer_, Oct 16 2009: (Start) %Y A112008 Equals fourth left hand column of A163936. %Y A112008 (End) %K A112008 nonn,easy %O A112008 0,2 %A A112008 _Wolfdieter Lang_, Sep 12 2005