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 A243832 #8 Jan 24 2019 16:14:12 %S A243832 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,132,0,0,0,0,0, %T A243832 0,132,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,21,0,0,0,0,0,0,0,0,0,1,196,0, %U A243832 0,0,0,0,0,0,0,0,0,28,1176,0,0,0,0,0,0,0,0,0,1,0,336,5292,0,0,0,0,0,0,0,0,0,0,7,0,2520,19404,0,0 %N A243832 Number A(n,k) of Dyck paths of semilength n having exactly six (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of k, where 1=U=(1,1) and 0=D=(1,-1); square array A(n,k), n>=0, k>=0, read by antidiagonals. %H A243832 Alois P. Heinz, <a href="/A243832/b243832.txt">Antidiagonals n = 0..140, flattened</a> %e A243832 Square array A(n,k) begins: %e A243832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 132, 132, 1, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A243832 0, 0, 21, 1, 0, 1, 0, 0, 0, 0, 1, ... %e A243832 0, 0, 196, 28, 0, 7, 0, 1, 0, 0, 1, ... %e A243832 0, 0, 1176, 336, 0, 56, 0, 9, 0, 0, 15, ... %e A243832 0, 0, 5292, 2520, 0, 336, 0, 80, 0, 0, 64, ... %Y A243832 Main diagonal gives A243775 or column k=6 of A243752. %Y A243832 Cf. A243753, A243827, A243828, A243829, A243830, A243831, A243833, A243834, A243835, A243836. %K A243832 nonn,tabl %O A243832 0,28 %A A243832 _Alois P. Heinz_, Jun 11 2014