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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A274160(n+1).

Sequence in context: A231227 A231441 A284199 * A284113 A324480 A164975

Adjacent sequences: A284162 A284163 A284164 * A284166 A284167 A284168

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 21 2017

Status

approved