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 A324604 #20 Oct 28 2021 07:10:50 %S A324604 2,2,4,2,7,22,2,13,66,258,2,25,189,898,3528,2,49,537,3118,14545,87830, %T A324604 2,97,1544,11462,75446,746589,8295536,2,193,4508,44990,447667 %N A324604 Table read by rows: T(n,k) is the number of non-intersecting loops starting at (0,0) on the n X k torus consisting of steps up and to the right, 1 <= k <= n. %C A324604 Conjecture: Second column is A181565. %H A324604 Peter Kagey, <a href="https://codegolf.stackexchange.com/q/181203/53884">Cycles on the torus</a>, Programming Puzzles & Code Golf Stack Exchange. %e A324604 The T(3,2) = 7 walks on the 3 X 2 torus are: %e A324604 (0,0),(0,1),(0,0) %e A324604 (0,0),(1,0),(2,0),(0,0) %e A324604 (0,0),(0,1),(1,1),(1,0),(2,0),(0,0) %e A324604 (0,0),(0,1),(1,1),(2,1),(2,0),(0,0) %e A324604 (0,0),(1,0),(1,1),(2,1),(0,1),(0,0) %e A324604 (0,0),(1,0),(1,1),(2,1),(2,0),(0,0) %e A324604 (0,0),(1,0),(2,0),(2,1),(0,1),(0,0) %e A324604 Table begins: %e A324604 2 %e A324604 2, 4, %e A324604 2, 7, 22, %e A324604 2, 13, 66, 258, %e A324604 2, 25, 189, 898, 3528, %e A324604 2, 49, 537, 3118, 14545, 87830, %e A324604 2, 97, 1544, 11462, 75446, 746589, 8295536 %Y A324604 Cf. A181565, A324603. %K A324604 tabl,more,nonn,walk %O A324604 1,1 %A A324604 _Peter Kagey_, Mar 09 2019