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A284334
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T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
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13
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1, 2, 2, 3, 4, 4, 6, 13, 13, 8, 10, 34, 49, 42, 16, 19, 118, 373, 415, 134, 32, 33, 419, 2259, 5130, 2243, 467, 64, 62, 1481, 18114, 68458, 70039, 19385, 1689, 128, 112, 5394, 120058, 966889, 1792007, 1000935, 122495, 6210, 256, 212, 19848, 959041, 13941789
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OFFSET
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1,2
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COMMENTS
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Table starts
...1.....2.......3..........6............10..............19.................33
...2.....4......13.........34...........118.............419...............1481
...4....13......49........373..........2259...........18114.............120058
...8....42.....415.......5130.........68458..........966889...........13941789
..16...134....2243......70039.......1792007........53435287.........1495300322
..32...467...19385....1000935......53977741......3063494246.......177476886878
..64..1689..122495...14581112....1544903012....179138039472.....20513380740103
.128..6210.1021999..215806808...46769835006..10629901713799...2467754689139967
.256.23178.7013557.3229703988.1390664014686.637390912071364.294625135884008616
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..143
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EXAMPLE
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Some solutions for n=4, k=4
..0..0..0..0. .0..1..0..1. .0..0..1..1. .0..1..1..0. .0..0..1..0
..1..0..1..0. .1..0..1..1. .0..1..1..0. .1..0..0..1. .0..1..0..1
..1..0..0..0. .0..1..0..1. .1..1..1..0. .1..1..0..0. .1..0..1..1
..1..1..1..1. .0..0..1..0. .0..0..1..1. .0..1..1..0. .0..0..1..1
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CROSSREFS
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Column 1 is A000079(n-1).
Column 2 is A284159.
Row 1 is A274160(n+1).
Sequence in context: A342520 A225482 A004056 * A198317 A036822 A056099
Adjacent sequences: A284331 A284332 A284333 * A284335 A284336 A284337
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Mar 25 2017
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STATUS
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approved
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