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A278272
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T(n,k)=Number of nXk 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.
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6
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0, 0, 0, 0, 4, 0, 0, 47, 47, 0, 0, 395, 1541, 395, 0, 0, 3453, 46669, 46669, 3453, 0, 0, 30475, 1443372, 4917221, 1443372, 30475, 0, 0, 268257, 44653299, 534794424, 534794424, 44653299, 268257, 0, 0, 2360984, 1380961734, 58169902939
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OFFSET
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1,5
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COMMENTS
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Table starts
.0......0..........0.............0.................0.....................0
.0......4.........47...........395..............3453.................30475
.0.....47.......1541.........46669...........1443372..............44653299
.0....395......46669.......4917221.........534794424...........58169902939
.0...3453....1443372.....534794424......205381236473........78878506284185
.0..30475...44653299...58169902939....78878506284185....106937880786585233
.0.268257.1380961734.6324036210246.30276634666919851.144890411982622214715
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..84
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FORMULA
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Empirical for column k:
k=2: [linear recurrence of order 8]
k=3: [order 40]
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EXAMPLE
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Some solutions for n=3 k=4
..0..3..1..3. .0..2..2..3. .0..1..3..2. .0..2..2..0. .0..3..2..1
..1..2..2..0. .1..3..3..0. .2..3..0..1. .1..3..1..1. .1..2..3..0
..0..0..3..2. .2..0..1..2. .0..1..3..2. .2..2..0..0. .0..1..1..0
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CROSSREFS
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Sequence in context: A191417 A307050 A223179 * A192057 A054376 A351156
Adjacent sequences: A278269 A278270 A278271 * A278273 A278274 A278275
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Nov 16 2016
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STATUS
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approved
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