A286979 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 30, 50, 30, 0, 1, 126, 538, 538, 126, 1, 3, 520, 3932, 8270, 3932, 520, 3, 10, 2088, 32253, 123706, 123706, 32253, 2088, 10, 24, 8192, 238532, 1853532, 3584756, 1853532, 238532, 8192, 24, 60, 32083, 1875212, 27938670

Offset: 1

Author

R. H. Hardin, May 17 2017

Keywords

• nonn
• tabl

Comments

Table starts

..0.....0........0..........0.............0................1..................3

..0.....0........5.........30...........126..............520...............2088

..0.....5.......50........538..........3932............32253.............238532

..0....30......538.......8270........123706..........1853532...........27938670

..0...126.....3932.....123706.......3584756........108110791.........3229944132

..1...520....32253....1853532.....108110791.......6394436704.......382399996325

..3..2088...238532...27938670....3229944132.....382399996325.....45587718323826

.10..8192..1875212..424161696...98063836816...23061514189084...5491408595796062

.24.32083.14222474.6473516290.2979455186170.1399727072882973.665386690317576640

Examples

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

Links

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

Crossrefs

Column 1 is A286209.