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 A198793 #14 Nov 10 2013 15:43:31
%S A198793 1,1,0,1,1,0,1,2,2,0,1,3,6,4,0,1,4,12,16,8,0,1,5,20,40,40,16,0,1,6,30,
%T A198793 80,120,96,32,0,1,7,42,140,280,336,224,64,0,1,8,56,224,560,896,896,
%U A198793 512,128,0,1,9,72,336,1008,2016,2688,2304,1152,256,0
%N A198793 Triangle T(n,k), read by rows, given by (1,0,0,1,0,0,0,0,0,0,0,...) DELTA (0,1,1,0,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938.
%C A198793 Mirror image of A198792.
%C A198793 Variant of A082137.
%F A198793 Sum_ {0<=k<=n} T(n,k) = A124302(n).
%F A198793 G.f.:(1-x*(1+2y)+x^2*y)/((1-x)*(1-(1+2y)*x)).
%F A198793 T(n,k) = 2*T(n-1,k) + 2*T(n-1,k-1) - T(n-2,k) - 2*T(n-2,k-1) for n>2, T(0,0) = T(1,0) = T(2,0) = T(2,1) = 1, T(1,1) = T(2,2) = 0, T(n,k) = 0 if k<0 or if k>n. - _Philippe Deléham_, Nov 10 2013
%e A198793 Triangle begins :
%e A198793 1
%e A198793 1, 0
%e A198793 1, 1, 0
%e A198793 1, 2, 2, 0
%e A198793 1, 3, 6, 4, 0
%e A198793 1, 4, 12, 16, 8, 0,
%e A198793 1, 5, 20, 40, 40, 16, 0
%Y A198793 Cf. A082137, A084938, A198792.
%K A198793 easy,nonn,tabl
%O A198793 0,8
%A A198793 _Philippe Deléham_, Oct 30 2011