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A284771
T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1.
8
0, 0, 0, 1, 4, 1, 2, 14, 14, 2, 6, 52, 119, 52, 6, 12, 206, 720, 720, 206, 12, 28, 772, 5637, 10120, 5637, 772, 28, 56, 2896, 38792, 145822, 145822, 38792, 2896, 56, 119, 10996, 298003, 2134812, 4219759, 2134812, 298003, 10996, 119, 236, 41862, 2180148
OFFSET
1,5
COMMENTS
Table starts
..0.....0.......1.........2............6.............12...............28
..0.....4......14........52..........206............772.............2896
..1....14.....119.......720.........5637..........38792...........298003
..2....52.....720.....10120.......145822........2134812.........31677488
..6...206....5637....145822......4219759......121021322.......3595841703
.12...772...38792...2134812....121021322.....7032604532.....415218866820
.28..2896..298003..31677488...3595841703...415218866820...48994677634459
.56.10996.2180148.474539092.107047691558.24791001439744.5840008221148574
LINKS
EXAMPLE
Some solutions for n=4, k=4
..0..0..1..0. .1..1..1..0. .0..0..1..1. .0..1..0..0. .0..0..0..1
..0..1..1..0. .1..0..0..0. .0..0..0..1. .0..1..1..0. .1..1..0..1
..0..1..0..1. .0..0..1..1. .0..1..1..0. .0..1..0..0. .0..0..0..0
..0..1..1..0. .0..1..1..1. .0..1..1..0. .1..0..1..1. .1..1..0..1
CROSSREFS
Column 1 is A284449.
Sequence in context: A365455 A030441 A298570 * A283042 A297823 A297993
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 02 2017
STATUS
approved