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 A293960 #16 Oct 18 2018 15:56:31 %S A293960 1,1,0,1,1,0,1,1,1,0,1,1,3,1,0,1,1,3,5,1,0,1,1,3,15,11,1,0,1,1,3,15, %T A293960 35,21,1,0,1,1,3,15,105,103,43,1,0,1,1,3,15,105,315,343,85,1,0,1,1,3, %U A293960 15,105,945,1141,979,171,1,0,1,1,3,15,105,945,3465,4779,2915,341,1,0 %N A293960 Number A(n,k) of linear chord diagrams having n chords and no chord length larger than k; square array A(n,k), n>=0, k>=0, read by antidiagonals. %C A293960 All terms in columns k > 0 are odd. %H A293960 Alois P. Heinz, <a href="/A293960/b293960.txt">Antidiagonals n = 0..40, flattened</a> %F A293960 A(n,k) = Sum_{j=0..k} A293961(n,j). %F A293960 A(n,k) = A(n,n) = A001147(n) for k >= n. %e A293960 Square array A(n,k) begins: %e A293960 1, 1, 1, 1, 1, 1, 1, 1, ... %e A293960 0, 1, 1, 1, 1, 1, 1, 1, ... %e A293960 0, 1, 3, 3, 3, 3, 3, 3, ... %e A293960 0, 1, 5, 15, 15, 15, 15, 15, ... %e A293960 0, 1, 11, 35, 105, 105, 105, 105, ... %e A293960 0, 1, 21, 103, 315, 945, 945, 945, ... %e A293960 0, 1, 43, 343, 1141, 3465, 10395, 10395, ... %e A293960 0, 1, 85, 979, 4779, 14857, 45045, 135135, ... %Y A293960 Columns k=0-10 give: A000007, A000012, A001045(n+1), A293995, A293996, A293997, A293998, A293999, A294000, A294001, A294002. %Y A293960 Main diagonal gives A001147. %Y A293960 Cf. A293961. %K A293960 nonn,tabl %O A293960 0,13 %A A293960 _Alois P. Heinz_, Oct 20 2017