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 A114162 #5 Jan 06 2024 21:49:23 %S A114162 1,1,1,1,2,1,1,3,3,1,2,4,6,4,1,2,10,10,10,5,1,6,12,30,20,15,6,1,6,42, %T A114162 42,70,35,21,7,1,24,48,168,112,140,56,28,8,1,24,216,216,504,252,252, %U A114162 84,36,9,1,120,240,1080,720,1260,504,420,120,45,10,1 %N A114162 C(n,k)*Floor((n-k)/2)!. %C A114162 Row sums are A081124. %F A114162 T(n, k) = if(k<=n, C(n, k)floor((n-k)/2)!, 0). %e A114162 Triangle begins: %e A114162 1; %e A114162 1, 1; %e A114162 1, 2, 1; %e A114162 1, 3, 3, 1; %e A114162 2, 4, 6, 4, 1; %e A114162 2, 10, 10, 10, 5, 1; %e A114162 6, 12, 30, 20, 15, 6, 1; %e A114162 6, 42, 42, 70, 35, 21, 7, 1; %Y A114162 Cf. A081124. %K A114162 easy,nonn,tabl %O A114162 0,5 %A A114162 _Paul Barry_, Nov 14 2005