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 A351108 #5 Feb 04 2022 14:40:33 %S A351108 1,1,0,1,1,2,2,2,3,8,3,3,7,12,40,5,7,13,26,160,1380,9,13,28,61,918, %T A351108 12940,211164,14,27,61,161,7260,142453,4997155,205331148 %N A351108 Triangle read by rows: T(m,n) is the number of simple paths for a Racetrack car (using von Neumann neighborhood) with initial velocity zero, going from one corner to the diagonally opposite corner on an m X n grid, 1 <= n <= m. %H A351108 Wikipedia, <a href="https://en.wikipedia.org/wiki/Racetrack_(game)">Racetrack</a> %e A351108 Triangle begins: %e A351108 m\n| 1 2 3 4 5 6 7 8 %e A351108 ---+------------------------------------------- %e A351108 1 | 1 %e A351108 2 | 1 0 %e A351108 3 | 1 1 2 %e A351108 4 | 2 2 3 8 %e A351108 5 | 3 3 7 12 40 %e A351108 6 | 5 7 13 26 160 1380 %e A351108 7 | 9 13 28 61 918 12940 211164 %e A351108 8 | 14 27 61 161 7260 142453 4997155 205331148 %Y A351108 Cf. A064297, A291896 (column n=1), A351042, A351106, A351109 (main diagonal). %K A351108 nonn,tabl,more %O A351108 1,6 %A A351108 _Pontus von Brömssen_, Feb 01 2022