A285030 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 one less than the number of 0's adjacent to some 1.

0, 0, 0, 1, 2, 1, 2, 6, 6, 2, 6, 26, 97, 26, 6, 12, 104, 442, 442, 104, 12, 28, 402, 4892, 6460, 4892, 402, 28, 56, 1578, 26226, 96458, 96458, 26226, 1578, 56, 119, 6196, 256732, 1449814, 3708321, 1449814, 256732, 6196, 119, 236, 24310, 1544872, 22043878

Offset: 1

Author

R. H. Hardin, Apr 08 2017

Keywords

• nonn
• tabl

Comments

Table starts

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

..0....2.......6........26.........104............402.............1578

..1....6......97.......442........4892..........26226...........256732

..2...26.....442......6460.......96458........1449814.........22043878

..6..104....4892.....96458.....3708321.......85715676.......3064900470

.12..402...26226...1449814....85715676.....5075612300.....305391845288

.28.1578..256732..22043878..3064900470...305391845288...40651048407879

.56.6196.1544872.336883696.78636441270.18488589657334.4417815478017558

Examples

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

Links

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

Crossrefs

Column 1 is A284449.