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 A307584 #24 Jan 26 2022 09:41:30 %S A307584 1,2,1,2,6,1,2,14,10,1,2,22,42,14,1,2,30,106,86,18,1,2,38,202,318,146, %T A307584 22,1,2,46,330,838,722,222,26,1,2,54,490,1774,2514,1382,314,30,1,2,62, %U A307584 682,3254,6802,6062,2362,422,34,1,2,70,906,5406,15378,20406,12570,20406,12570,3726,546,38,1 %N A307584 Triangle read by rows: T(n,k) is the number of non-backtracking walks on Z^2 of length n that are active for k steps, where the walk is initially active and turns in the walk toggle the activity. %H A307584 M. Fahrbach and D. Randall, <a href="https://arxiv.org/abs/1904.01495">Slow mixing of Glauber dynamics for the six-vertex model in the ferroelectric and antiferroelectric phases</a>, arXiv:1904.01495 [cs.DS], 2019 %H A307584 R. J. Mathar, <a href="/A348595/a348595.pdf">Walks of up and right steps in the square lattice with blocked squares</a> (2022) Table 2. %e A307584 Triangle begins: %e A307584 1; %e A307584 2, 1; %e A307584 2, 6, 1; %e A307584 2, 14, 10, 1; %e A307584 2, 22, 42, 14, 1; %e A307584 2, 30, 106, 86, 18, 1; %e A307584 2, 38, 202, 318, 146, 22, 1; %e A307584 2, 46, 330, 838, 722, 222, 26, 1; %e A307584 2, 54, 490, 1774, 2514, 1382, 314, 30, 1; %e A307584 2, 62, 682, 3254, 6802, 6062, 2362, 422, 34, 1; %e A307584 2, 70, 906, 5406, 15378, 20406, 12570, 3726, 546, 38, 1; %e A307584 ... %Y A307584 Row sums give A000244. Cf. A051708 (subdiagonal T(2n,n)). %K A307584 nonn,tabl %O A307584 1,2 %A A307584 _Matthew Fahrbach_, Apr 15 2019