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 A145316 #2 Mar 30 2012 18:59:21 %S A145316 1,0,1,1,0,1,0,2,0,1,2,0,4,0,1,0,6,0,6,0,1,6,0,18,0,9,0,1,0,24,0,36,0, %T A145316 12,0,1,24,0,96,0,72,0,16,0,1,0,120,0,240,0,120,0,20,0,1,120,0,600,0, %U A145316 600,0,200,0 %N A145316 L-matrix for Hankel matrix of aerated factorials. %C A145316 Row sums are A056953. Hankel matrix of aerated factorials H=LDU where U=transpose of L. Aerated version of A104557. %F A145316 Triangle T(n,k)=[k<=n]((n-k)/2)!C((n+k)/2-floor(k/2),floor((k+1)/2))C((n+k)/2-floor((k+1)/2),floor(k/2))(1+(-1)^(n-k))/2; %e A145316 Triangle begins 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 4, 0, 1, 0, 6, 0, 6, 0, 1, 6, 0, 18, 0, 9, 0, 1, 0, 24, 0, 36, 0, 12, 0, 1, 24, 0, 96, 0, 72, 0, 16, 0, 1 %K A145316 easy,nonn,tabl %O A145316 0,8 %A A145316 _Paul Barry_, Oct 07 2008