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 A127967 #11 Jun 12 2024 06:56:12 %S A127967 1,1,1,1,0,1,1,0,2,1,1,0,3,0,1,1,0,4,0,3,1,1,0,5,0,6,0,1,1,0,6,0,10,0, %T A127967 4,1,1,0,7,0,15,0,10,0,1,1,0,8,0,21,0,20,0,5,1,1,0,9,0,28,0,35,0,15,0, %U A127967 1,1,0,10,0,36,0,56,0,35,0,6,1 %N A127967 A right-skewed Pascal triangle, with interspersed 1's on main diagonal. %C A127967 Linked to Fibonacci numbers by row sums A127968. Inverse A127969 is linked to Genocchi numbers by its first column. %F A127967 Column k is generated by x^(-2)*(x*(1-x)^(-1/2))^(k+2), where non-integer values are set to 0; or, column k has g.f. x^k/(1-x)^(1+k/2) if k is even, x^k if k is odd. %e A127967 Triangle begins %e A127967 1; %e A127967 1, 1; %e A127967 1, 0, 1; %e A127967 1, 0, 2, 1; %e A127967 1, 0, 3, 0, 1; %e A127967 1, 0, 4, 0, 3, 1; %e A127967 1, 0, 5, 0, 6, 0, 1; %e A127967 1, 0, 6, 0, 10, 0, 4, 1; %e A127967 1, 0, 7, 0, 15, 0, 10, 0, 1; %e A127967 1, 0, 8, 0, 21, 0, 20, 0, 5, 1; %e A127967 1, 0, 9, 0, 28, 0, 35, 0, 15, 0, 1; %e A127967 1, 0, 10, 0, 36, 0, 56, 0, 35, 0, 6, 1; %e A127967 1, 0, 11, 0, 45, 0, 84, 0, 70, 0, 21, 0, 1; %Y A127967 Cf. A127968, A127969. %K A127967 easy,nonn,tabl %O A127967 0,9 %A A127967 _Paul Barry_, Feb 09 2007