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A284199 T(n,k)=Number of nXk 0..1 arrays with the number of 1s horizontally, antidiagonally or vertically adjacent to some 0 equal to the number of 0s adjacent to some 1, with top left element zero. 8
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 (list; table; graph; refs; listen; history; text; internal format)
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: A317533 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

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Last modified September 15 16:44 EDT 2019. Contains 327078 sequences. (Running on oeis4.)