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 A132814 #11 Mar 06 2022 00:16:47
%S A132814 1,0,2,0,2,3,0,0,9,4,0,0,6,24,5,0,0,0,40,50,6,0,0,0,20,150,90,7,0,0,0,
%T A132814 0,175,420,147,8,0,0,0,0,70,840,980,224,9,0,0,0,0,0,756,2940,2016,324,
%U A132814 10,0,0,0,0,0,252,4410,8400,3780,450,11
%N A132814 A007318^(-1) * A132813.
%C A132814 Row sums = A005773 starting (1, 2, 5, 13, 35, 96, ...).
%F A132814 Inverse binomial transform of A132813.
%e A132814 First few rows of the triangle:
%e A132814 1;
%e A132814 0, 2;
%e A132814 0, 2, 3;
%e A132814 0, 0, 9, 4;
%e A132814 0, 0, 6, 24, 5;
%e A132814 0, 0, 0, 40, 50, 6;
%e A132814 0, 0, 0, 20, 150, 90, 7;
%e A132814 ...
%o A132814 (PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t132813 = matrix(nn, nn, n, k, binomial(n-1, k-1)*binomial(n, k-1)); t132814 = t007318^(-1)*t132813; for (n=1, nn, for (k=1, n, print1(t132814[n, k], ", ");););} \\ _Michel Marcus_, Feb 12 2014
%Y A132814 Cf. A132813, A005773.
%K A132814 nonn,tabl
%O A132814 0,3
%A A132814 _Gary W. Adamson_, Sep 01 2007
%E A132814 More terms from _Michel Marcus_, Feb 12 2014