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 A359575 #4 Jan 06 2023 19:50:12 %S A359575 1,1,1,1,3,1,1,8,8,1,1,20,51,20,1,1,49,295,295,49,1,1,119,1632,3828, %T A359575 1632,119,1,1,288,8830,46557,46557,8830,288,1,1,696,47239,546286, %U A359575 1225194,546286,47239,696,1,1,1681,251261,6279393,30754544,30754544,6279393,251261,1681,1 %N A359575 Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with a path of adjacent 1's from upper right corner to lower left corner. %F A359575 T(m,n) = T(n,m). %e A359575 Array begins: %e A359575 ================================================================ %e A359575 m\n| 1 2 3 4 5 6 7 %e A359575 ---+------------------------------------------------------------ %e A359575 1 | 1 1 1 1 1 1 1 ... %e A359575 2 | 1 3 8 20 49 119 288 ... %e A359575 3 | 1 8 51 295 1632 8830 47239 ... %e A359575 4 | 1 20 295 3828 46557 546286 6279393 ... %e A359575 5 | 1 49 1632 46557 1225194 30754544 749866185 ... %e A359575 6 | 1 119 8830 546286 30754544 1636193228 83949041929 ... %e A359575 7 | 1 288 47239 6279393 749866185 83949041929 9009490924794 ... %e A359575 ... %Y A359575 Main diagonal is A069343. %Y A359575 Rows 1..20 are A000012, A048739(n-1), A069325, A069326, A069327-A069342. %Y A359575 Cf. A359573, A359576. %K A359575 nonn,tabl %O A359575 1,5 %A A359575 _Andrew Howroyd_, Jan 06 2023