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

1,5

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

Links

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

Example

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

Crossrefs

Row 1 is A284449.

Sequence in context: A177113 A347010 A281205 * A077184 A077183 A101030

Adjacent sequences: A285149 A285150 A285151 * A285153 A285154 A285155

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 12 2017

Status

approved