A284165 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally 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, 42, 62, 42, 10, 19, 134, 461, 461, 134, 19, 33, 467, 2872, 5888, 2872, 467, 33, 62, 1689, 21790, 80072, 80072, 21790, 1689, 62, 112, 6210, 154108, 1142173, 2179255, 1142173, 154108, 6210, 112, 212, 23178, 1174235

Offset: 1

Author

R. H. Hardin, Mar 21 2017

Keywords

• nonn
• tabl

Comments

Table starts

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

...2.....4......13.........42...........134.............467...............1689

...3....13......62........461..........2872...........21790.............154108

...6....42.....461.......5888.........80072.........1142173...........16699997

..10...134....2872......80072.......2179255........63520018.........1852406216

..19...467...21790....1142173......63520018......3648835932.......213897742464

..33..1689..154108...16699997....1852406216....213897742464.....25064817057781

..62..6210.1174235..247899694...55270158210..12712253739523...2981736353245523

.112.23178.8682209.3717494360.1656400271264.762954434250117.357844048109256955

Examples

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

Links

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

Crossrefs

Column 1 is A274160(n+1).