A284113 T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move 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, 46, 25, 46, 10, 19, 160, 435, 435, 160, 19, 33, 571, 1230, 5896, 1230, 571, 33, 62, 2095, 20275, 80200, 80200, 20275, 2095, 62, 112, 7802, 67957, 1143533, 905327, 1143533, 67957, 7802, 112, 212, 29326, 1057769, 16442183

Offset: 1

Author

R. H. Hardin, Mar 20 2017

Keywords

• nonn
• tabl

Comments

Table starts

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

...2......4.......13..........46............160...............571

...3.....13.......25.........435...........1230.............20275

...6.....46......435........5896..........80200...........1143533

..10....160.....1230.......80200.........905327..........61595318

..19....571....20275.....1143533.......61595318........3514396333

..33...2095....67957....16442183......835390074......202053817163

..62...7802..1057769...240146980....51786529350....11804599876991

.112..29326..4091201..3538905880...809052347723...696189477669561

.212.111040.57977326.52568393480.45439256969227.41397421665690592

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..161

Crossrefs

Column 1 is A274160(n+1).