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A282130
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T(n,k)=Number of nXk 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
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6
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0, 0, 0, 0, 0, 0, 0, 30, 30, 0, 0, 412, 1826, 412, 0, 0, 4018, 14952, 14952, 4018, 0, 0, 35472, 137676, 210308, 137676, 35472, 0, 0, 296062, 1032030, 2582100, 2582100, 1032030, 296062, 0, 0, 2378276, 7679079, 27360940, 36329997, 27360940, 7679079
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OFFSET
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1,8
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COMMENTS
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Table starts
.0.........0..........0...........0...........0............0............0
.0.........0.........30.........412........4018........35472.......296062
.0........30.......1826.......14952......137676......1032030......7679079
.0.......412......14952......210308.....2582100.....27360940....288592122
.0......4018.....137676.....2582100....36329997....474264964...6056577995
.0.....35472....1032030....27360940...474264964...7788462424.124826907672
.0....296062....7679079...288592122..6056577995.124826907672
.0...2378276...54233948..2859154700.73617080694
.0..18602538..376415512.28049884760
.0.142686584.2558365766
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 8]
k=3: [order 30] for n>33
k=4: [order 80] for n>87
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..1..1. .0..1..1..1. .0..1..1..2. .0..1..1..0. .0..1..1..0
..1..1..1..1. .2..1..1..1. .1..1..1..0. .1..1..2..1. .1..0..1..0
..2..0..1..1. .2..2..0..0. .2..1..2..2. .0..1..2..1. .0..1..1..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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