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 A076126 #9 Jan 10 2014 17:09:24 %S A076126 2,6,24,12,120,120,720,1080,120,5040,10080,2520,40320,100800,40320, %T A076126 1680,362880,1088640,604800,60480,3628800,12700800,9072000,1512000, %U A076126 30240,39916800,159667200,139708800,33264000,1663200,479001600 %N A076126 Triangle T(n,k) of associated Lah numbers, n>=2, k=1..floor(n/2). %C A076126 Number of partitions of {1,..,n} into k lists of size >1, where a list means an ordered subset, cf. A008297. %F A076126 T(n, k) = n!/k!*binomial(n-k-1, k-1), n>=2, k=1..floor(n/2). G.f.: G.f.: Sum_{n>=2, k=1..floor(n/2)} T(n, k)*x^n*y^k/n! = exp(x^2*y/(1-x))-1. %e A076126 2; 6; 24, 12; 120,120; 720,1080,120; 5040,10080, 2520; ... %Y A076126 Row sums give A052845, A008306, A008299. %K A076126 nonn,tabf %O A076126 2,1 %A A076126 _Vladeta Jovovic_, _Vladimir Baltic_, Oct 31 2002