cp's OEIS Frontend

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.

A128937 Triangle formed by reading A039598 mod 2.

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%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