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A286979
T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1.
7
0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 30, 50, 30, 0, 1, 126, 538, 538, 126, 1, 3, 520, 3932, 8270, 3932, 520, 3, 10, 2088, 32253, 123706, 123706, 32253, 2088, 10, 24, 8192, 238532, 1853532, 3584756, 1853532, 238532, 8192, 24, 60, 32083, 1875212, 27938670
OFFSET
1,8
COMMENTS
Table starts
..0.....0........0..........0.............0................1..................3
..0.....0........5.........30...........126..............520...............2088
..0.....5.......50........538..........3932............32253.............238532
..0....30......538.......8270........123706..........1853532...........27938670
..0...126.....3932.....123706.......3584756........108110791.........3229944132
..1...520....32253....1853532.....108110791.......6394436704.......382399996325
..3..2088...238532...27938670....3229944132.....382399996325.....45587718323826
.10..8192..1875212..424161696...98063836816...23061514189084...5491408595796062
.24.32083.14222474.6473516290.2979455186170.1399727072882973.665386690317576640
LINKS
EXAMPLE
Some solutions for n=4, k=4
..0..1..1..1. .1..0..0..1. .0..0..0..0. .1..0..0..1. .0..1..1..1
..0..0..0..1. .1..0..0..1. .0..1..1..0. .0..1..0..1. .0..0..1..0
..1..0..0..0. .0..0..1..1. .0..1..1..0. .0..0..1..1. .0..1..0..1
..1..0..0..0. .1..0..0..0. .1..0..0..1. .1..0..0..0. .0..1..0..0
CROSSREFS
Column 1 is A286209.
Sequence in context: A356116 A281165 A282481 * A030047 A176184 A176144
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, May 17 2017
STATUS
approved