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 A154388 #10 Jan 25 2020 00:53:24
%S A154388 1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,
%T A154388 0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,
%U A154388 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
%N A154388 Triangle T(n,k), 0<=k<=n, read by rows given by [0,1,-1,0,0,0,0,0,0,0,...] DELTA [1,-1,-1,1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.
%F A154388 Sum_{k=0..n} T(n,k)*x^(n-k) = A135528(n+1), A000012(n), A040001(n), A153284(n+1) for x = 0,1,2,3 respectively.
%F A154388 G.f.: (1+y*x+(y-y^2)*x^2)/(1-y^2*x^2). - _Philippe Deléham_, Dec 17 2011
%F A154388 Sum_{k=0..n} T(n,k)*x^k = A000007(n), A000012(n), A158302(n) for x = 0, 1, 2 respectively. - _Philippe Deléham_, Dec 17 2011
%e A154388 Triangle begins:
%e A154388 1;
%e A154388 0, 1;
%e A154388 0, 1, 0;
%e A154388 0, 0, 0, 1;
%e A154388 0, 0, 0, 1, 0;
%e A154388 0, 0, 0, 0, 0, 1; ...
%K A154388 nonn,tabl
%O A154388 0,1
%A A154388 _Philippe Deléham_, Jan 08 2009