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 A195673 #18 Mar 30 2012 18:52:06 %S A195673 -2,3,0,3,0,2,3,0,-1,0,3,0,-4,0,-2,3,0,-7,0,-1,0,3,0,-10,0,3,0,2,3,0, %T A195673 -13,0,10,0,3,0,3,0,-16,0,20,0,0,0,-2,3,0,-19,0,33,0,-10,0,-5,0,3,0, %U A195673 -22,0,49,0,-30,0,-5,0,2,3,0,-25,0,68 %N A195673 Triangle T(n,k) read by rows: T(0,0)=-2, T(1,0)=3, T(1,1)=0 and T(n,k) = T(n-1,k)-T(n-2,k-2) otherwise. %C A195673 Obviously T(n,k) = 0 for all odd k. %C A195673 Conjecture: The polynomials p(n,x) = sum_{k=0..n} T(n,k)*x^(n-k) based on this simple recurrence for other initial constant values of T(0,0)=p and T(1,0)=q are related to the S-polynomials of A053119: p(n,x,p+1,q+1)-p(n,x,p,q) = S(n,x). %e A195673 -2; %e A195673 3, 0; %e A195673 3, 0, 2; %e A195673 3, 0, -1, 0; %e A195673 3, 0, -4, 0, -2; %e A195673 3, 0, -7, 0, -1, 0; %e A195673 3, 0, -10, 0, 3, 0, 2; %e A195673 3, 0, -13, 0, 10, 0, 3, 0. %Y A195673 Cf. A195662, A192011 (p=-1, q=2), A135929 (p=-2, q=1). %K A195673 sign,easy,tabl %O A195673 0,1 %A A195673 _Paul Curtz_, Sep 23 2011