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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A274160(n+1).

Sequence in context: A231441 A284199 A284165 * A324480 A164975 A253889

Adjacent sequences: A284110 A284111 A284112 * A284114 A284115 A284116

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 20 2017

Status

approved