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 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. 11
 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, 1193, 119, 1, 1, 288, 6049, 24455, 24455, 6049, 288, 1, 1, 696, 30616, 245972, 482443, 245972, 30616, 696, 1, 1, 1681, 154861, 2473317, 9469361, 9469361, 2473317, 154861, 1681, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..435 FORMULA T(m,n) = T(n,m). EXAMPLE Array begins: ================================================================ m\n| 1 2 3 4 5 6 7 ---+------------------------------------------------------------ 1 | 1 1 1 1 1 1 1 ... 2 | 1 3 8 20 49 119 288 ... 3 | 1 8 45 234 1193 6049 30616 ... 4 | 1 20 234 2423 24455 245972 2473317 ... 5 | 1 49 1193 24455 482443 9469361 185899132 ... 6 | 1 119 6049 245972 9469361 360923899 13742823032 ... 7 | 1 288 30616 2473317 185899132 13742823032 1012326365581 ... ... CROSSREFS Main diagonal is A163002. Rows 1..10 are A000012, A048739(n-1), A163003, A163004, A163005, A163006, A163007, A163008, A163009, A163010. Cf. A287151, A359574, A359575, A359576. Sequence in context: A238688 A174117 A157210 * A359575 A034801 A331890 Adjacent sequences: A359570 A359571 A359572 * A359574 A359575 A359576 KEYWORD nonn,tabl AUTHOR Andrew Howroyd, Jan 06 2023 STATUS approved

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Last modified April 17 04:44 EDT 2024. Contains 371756 sequences. (Running on oeis4.)