A284199 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

1, 2, 2, 3, 4, 3, 6, 13, 13, 6, 10, 40, 43, 40, 10, 19, 131, 412, 412, 131, 19, 33, 455, 1919, 5268, 1919, 455, 33, 62, 1611, 18842, 71181, 71181, 18842, 1611, 62, 112, 5818, 105367, 1001047, 1488503, 1001047, 105367, 5818, 112, 212, 21328, 983238

Offset: 1

Author

R. H. Hardin, Mar 22 2017

Keywords

• nonn
• tabl

Comments

Table starts

...1.....2.......3..........6............10..............19.................33

...2.....4......13.........40...........131.............455...............1611

...3....13......43........412..........1919...........18842.............105367

...6....40.....412.......5268.........71181.........1001047...........14392557

..10...131....1919......71181.......1488503........54333131.........1321614728

..19...455...18842....1001047......54333131......3083244672.......178138187113

..33..1611..105367...14392557....1321614728....178138187113.....18564422929880

..62..5818..983238..210449237...45952259333..10468760423253...2429325477564655

.112.21328.6123441.3113715736.1219757876905.622301968698475.271315506003954612

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Column 1 is A274160(n+1).