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 A128937 #11 Apr 21 2021 10:44:27 %S A128937 1,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0, %T A128937 0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0, %U A128937 0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1 %N A128937 Triangle formed by reading A039598 mod 2. %C A128937 Also triangle formed by reading triangles A052179, A053121, A124575, A126075, A126093. %C A128937 Also triangle formed by reading A065600 mod 2. - _Philippe Deléham_, Oct 15 2007 %F A128937 Sum_{k=0..n} T(n,k) = A048896(n). %F A128937 Sum_{k=0..n} T(n,k)*2^(n-k) = A101692(n). - _Philippe Deléham_, Oct 09 2007 %F A128937 Sum_{k=0..n} T(n,k)*2^k = A062878(n+1)/3. - _Philippe Deléham_, Aug 31 2009 %e A128937 Triangle begins: %e A128937 1; %e A128937 0, 1; %e A128937 1, 0, 1; %e A128937 0, 0, 0, 1; %e A128937 0, 0, 1, 0, 1; %e A128937 0, 1, 0, 0, 0, 1; %e A128937 1, 0, 1, 0, 1, 0, 1; %e A128937 0, 0, 0, 0, 0, 0, 0, 1; %e A128937 0, 0, 0, 0, 0, 0, 1, 0, 1; %e A128937 0, 0, 0, 0, 0, 1, 0, 0, 0, 1; %e A128937 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1; %e A128937 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1; %e A128937 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1; %e A128937 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1; %e A128937 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1; %e A128937 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1; ... %p A128937 A039598 := proc(n,k) %p A128937 binomial(2*n,n-k)-binomial(2*n,n-k-2) ; %p A128937 end proc: %p A128937 A128937 := proc(n,k) %p A128937 modp(A039598(n,k),2) ; %p A128937 end proc: # _R. J. Mathar_, Apr 21 2021 %Y A128937 Cf. A048896 (row sums). %K A128937 nonn,tabl,easy %O A128937 0,1 %A A128937 _Philippe Deléham_, Apr 27 2007, May 02 2007