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 A132008 #5 Dec 15 2017 14:31:02 %S A132008 1,3,14,98,954,12242,199156,3988248,96094356,2735515916,90647239704, %T A132008 3453539346232,149695821098056,7316061672718152,400012182207670288, %U A132008 24301065118906010048,1630456684740565109904,120168318315515773499952 %N A132008 Row sums of triangle A132007. %C A132008 Triangle T=A132007 is defined by: T(n,k) = T(n,k-1) + n*T(n-1,k-1) for n>=k>0, with T(n,0) = T(n-1,n-1) for n>0 and T(0,0) = 1; also, column 0 (A110083) obeys: T(n+1,0) = Sum_{k=0..n} (n!/k!)*C(n,k)*T(k,0). %H A132008 G. C. Greubel, <a href="/A132008/b132008.txt">Table of n, a(n) for n = 0..300</a> %t A132008 T[n_, k_] := T[n, k] = If[k < 0 || n < k, 0, If[n == 0 && k == 0, 1, If[k == 0, T[n - 1, n - 1], T[n, k - 1] + n*T[n - 1, k - 1]]]]; Table[Sum[T[n, k], {k, 0, n}], {n, 0, 30}] (* _G. C. Greubel_, Dec 15 2017 *) %o A132008 (PARI) { T(n, k)=if(k<0 || n<k, 0, if(n==0 && k==0, 1, if(k==0, T(n-1, n-1), T(n, k-1)+n*T(n-1, k-1)))) }; for(n=0,20, print1(sum(k=0,n, T(n,k)), ", ")) \\ _G. C. Greubel_, Dec 15 2017 %Y A132008 Cf. A132007, A110083. %K A132008 nonn %O A132008 0,2 %A A132008 _Paul D. Hanna_, Aug 07 2007