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A252882
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T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order
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11
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510, 3847, 3102, 28474, 25227, 18931, 211881, 206314, 175360, 116455, 1575377, 1723377, 1769486, 1284278, 717426, 11720268, 14424475, 18443090, 16537346, 9590968, 4422437, 87198323, 120914908, 194162037, 225544537, 160464987
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OFFSET
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1,1
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COMMENTS
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Table starts
........510........3847........28474.......211881.......1575377......11720268
.......3102.......25227.......206314......1723377......14424475.....120914908
......18931......175360......1769486.....18443090.....194162037....2048947027
.....116455.....1284278.....16537346....225544537....3149891207...44167941250
.....717426.....9590968....160464987...2937661429...55869292808.1063774566780
....4422437....71744739...1568328517..38915852537.1012679185415
...27268086...538250710..15405629778.519647556034
..168141437..4042792083.151688062643
.1036853114.30378440984
.6393927528
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 48]
Empirical for row n:
n=1: [linear recurrence of order 29]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..1..1..0..1....0..0..1..0..2..1....0..0..1..0..0..1....0..0..1..2..0..0
..0..0..1..0..1..1....0..0..1..1..2..2....0..0..1..0..0..2....0..0..1..0..1..0
..0..0..2..0..1..2....0..0..1..1..2..2....0..0..1..0..1..1....0..1..1..0..0..1
..0..2..1..2..1..1....0..2..1..1..0..1....0..0..2..1..0..1....0..0..1..1..0..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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