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 A198379 #21 Feb 22 2013 14:40:19
%S A198379 1,0,1,0,1,1,0,0,2,1,0,0,0,3,1,0,0,-1,0,4,1,0,0,0,-4,0,5,1,0,0,0,0,
%T A198379 -10,0,6,1,0,0,0,2,0,-20,0,7,1,0,0,0,0,12,0,-35,0,8,1,0,0,0,0,0,42,0,
%U A198379 -56,0,9,1
%N A198379 Triangle T(n,k), read by rows, given by (0,1,-1,0,1,-1,0,1,-1,0,1,-1,...) DELTA (1,0,0,1,0,0,1,0,0,1,0,0,1,...) where DELTA is the operator defined in A084938.
%C A198379 Equal to A174014*A130595 as infinite lower triangular matrices.
%F A198379 Sum_k>=0 T(n,k)= A174015(n).
%F A198379 Sum_k>=0 T(n,k)*2^k = A174016(n).
%F A198379 Sum_ {0<=k<=n} T(n,k)*(-1)^(n-k) = A168505(n).
%e A198379 Triangle begins :
%e A198379 1
%e A198379 0, 1
%e A198379 0, 1, 1
%e A198379 0, 0, 2, 1
%e A198379 0, 0, 0, 3, 1
%e A198379 0, 0, -1, 0, 4, 1
%e A198379 0, 0, 0, -4, 0, 5, 1
%e A198379 0, 0, 0, 0, -10, 0, 6, 1
%Y A198379 Cf. A174014, A174015, A174016
%K A198379 sign,easy,tabl
%O A198379 0,9
%A A198379 _Philippe Deléham_, Oct 28 2011