A293087 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 23, 53, 10, 0, 1, 124, 486, 498, 60, 0, 3, 518, 4091, 8108, 4013, 304, 0, 10, 2103, 32070, 125848, 126903, 31689, 1420, 0, 24, 8304, 246852, 1900201, 3786544, 1955375, 246743, 6312, 0, 60, 32561, 1897509, 28709764

Offset: 1

Author

R. H. Hardin, Sep 30 2017

Keywords

• nonn
• tabl

Comments

Table starts

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

.0.....0........5.........23...........124..............518...............2103

.0.....1.......53........486..........4091............32070.............246852

.0....10......498.......8108........125848..........1900201...........28709764

.0....60.....4013.....126903.......3786544........112687158.........3370860734

.0...304....31689....1955375.....114271723.......6736259130.......400400301913

.0..1420...246743...30064393....3464680837.....405651046593.....48001754870966

.0..6312..1915490..462569756..105517939849...24578475941654...5797084510052322

.0.27167.14853287.7127871677.3226317873349.1496865603233666.704256987414278983

Examples

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

Links

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

Crossrefs

Row 1 is A286209.