A285152 T(n,k) = Number of n X k 0..1 arrays with the number of 1s horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

0, 0, 0, 1, 2, 0, 2, 14, 12, 0, 6, 58, 113, 56, 0, 12, 210, 820, 786, 236, 0, 28, 788, 5773, 11574, 5742, 950, 0, 56, 2960, 41620, 159060, 166624, 42176, 3752, 0, 119, 11168, 305641, 2284666, 4551741, 2446130, 314197, 14684, 0, 236, 42402, 2274080

Offset: 1

Author

R. H. Hardin, Apr 12 2017

Keywords

• nonn
• tabl

Comments

Table starts

.0.....0........1..........2.............6...............12.................28

.0.....2.......14.........58...........210..............788...............2960

.0....12......113........820..........5773............41620.............305641

.0....56......786......11574........159060..........2284666...........33371602

.0...236.....5742.....166624.......4551741........130177958.........3791298670

.0...950....42176....2446130.....133021570.......7586120602.......440991447842

.0..3752...314197...36367674....3943470769.....448765516394.....52105131287528

.0.14684..2359900..545774302..118107656722...26835088076336...6225574564196248

.0.57192.17852820.8250020936.3565079136422.1617833226931330.750114767208917980

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..198

Crossrefs

Row 1 is A284449.