A284199 T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally 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, 40, 43, 40, 10, 19, 131, 412, 412, 131, 19, 33, 455, 1919, 5268, 1919, 455, 33, 62, 1611, 18842, 71181, 71181, 18842, 1611, 62, 112, 5818, 105367, 1001047, 1488503, 1001047, 105367, 5818, 112, 212, 21328, 983238

Offset

1,2

Comments

Table starts

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

...2.....4......13.........40...........131.............455...............1611

...3....13......43........412..........1919...........18842.............105367

...6....40.....412.......5268.........71181.........1001047...........14392557

..10...131....1919......71181.......1488503........54333131.........1321614728

..19...455...18842....1001047......54333131......3083244672.......178138187113

..33..1611..105367...14392557....1321614728....178138187113.....18564422929880

..62..5818..983238..210449237...45952259333..10468760423253...2429325477564655

.112.21328.6123441.3113715736.1219757876905.622301968698475.271315506003954612

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Column 1 is A274160(n+1).

Sequence in context: A343299 A231227 A231441 * A284165 A284113 A324480

Adjacent sequences: A284196 A284197 A284198 * A284200 A284201 A284202

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 22 2017

Status

approved