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 A359573 #10 Jan 30 2023 21:05:25 %S A359573 1,1,1,1,3,1,1,8,8,1,1,20,45,20,1,1,49,234,234,49,1,1,119,1193,2423, %T A359573 1193,119,1,1,288,6049,24455,24455,6049,288,1,1,696,30616,245972, %U A359573 482443,245972,30616,696,1,1,1681,154861,2473317,9469361,9469361,2473317,154861,1681,1 %N A359573 Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from upper left corner to lower right corner. %H A359573 Andrew Howroyd, <a href="/A359573/b359573.txt">Table of n, a(n) for n = 1..435</a> %F A359573 T(m,n) = T(n,m). %e A359573 Array begins: %e A359573 ================================================================ %e A359573 m\n| 1 2 3 4 5 6 7 %e A359573 ---+------------------------------------------------------------ %e A359573 1 | 1 1 1 1 1 1 1 ... %e A359573 2 | 1 3 8 20 49 119 288 ... %e A359573 3 | 1 8 45 234 1193 6049 30616 ... %e A359573 4 | 1 20 234 2423 24455 245972 2473317 ... %e A359573 5 | 1 49 1193 24455 482443 9469361 185899132 ... %e A359573 6 | 1 119 6049 245972 9469361 360923899 13742823032 ... %e A359573 7 | 1 288 30616 2473317 185899132 13742823032 1012326365581 ... %e A359573 ... %Y A359573 Main diagonal is A163002. %Y A359573 Rows 1..10 are A000012, A048739(n-1), A163003, A163004, A163005, A163006, A163007, A163008, A163009, A163010. %Y A359573 Cf. A287151, A359574, A359575, A359576. %K A359573 nonn,tabl %O A359573 1,5 %A A359573 _Andrew Howroyd_, Jan 06 2023