A284765 -id:A284765 - cp's OEIS frontend

A285750 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

0, 0, 0, 1, 4, 0, 2, 8, 14, 0, 6, 44, 105, 52, 0, 12, 150, 630, 550, 206, 0, 28, 540, 4850, 8544, 5105, 772, 0, 56, 2042, 31276, 119506, 125088, 30918, 2896, 0, 119, 7760, 250592, 1729212, 3640966, 1835412, 265920, 10996, 0, 236, 29654, 1727836

Offset: 1

R. H. Hardin, Apr 25 2017

Table starts
.0.....0........1..........2.............6...............12.................28
.0.....4........8.........44...........150..............540...............2042
.0....14......105........630..........4850............31276.............250592
.0....52......550.......8544........119506..........1729212...........25450414
.0...206.....5105.....125088.......3640966.........99685406.........3020617824
.0...772....30918....1835412.....101515318.......5826888288.......341001631140
.0..2896...265920...27339964....3077883556.....345505561776.....40895629554933
.0.10996..1773432..410644956...90409954434...20683003285236...4828422171183992
.0.41862.14632372.6209001966.2751592992660.1247496214559062.584834466962677402

			Some solutions for n=4, k=4
..0..0..0..0. .0..1..1..1. .0..1..1..1. .0..0..0..1. .0..0..0..0
..1..0..1..0. .0..1..0..0. .1..0..0..0. .1..1..1..0. .1..0..1..1
..1..0..0..1. .1..0..0..1. .0..0..0..0. .0..1..0..1. .1..0..1..1
..1..1..0..0. .1..0..0..0. .1..0..0..0. .1..0..0..0. .0..1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..143

Column 2 is A284765.

Row 1 is A284449.

cp's OEIS Frontend

A285750 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

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