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A237945
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the minimum of every 2X2 subblock equal
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9
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81, 437, 437, 2417, 5519, 2417, 13893, 70435, 70435, 13893, 81245, 946063, 2020033, 946063, 81245, 482409, 12909207, 61286941, 61286941, 12909207, 482409, 2893685, 178348911, 1871339377, 4202495253, 1871339377, 178348911, 2893685, 17487137
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OFFSET
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1,1
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COMMENTS
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Table starts
.......81.........437...........2417.............13893.................81245
......437........5519..........70435............946063..............12909207
.....2417.......70435........2020033..........61286941............1871339377
....13893......946063.......61286941........4202495253..........287601819479
....81245....12909207.....1871339377......287601819479........43830625875881
...482409...178348911....57597474709....19789034062007......6710777181199757
..2893685..2478121687..1776214151413..1361783640641509...1026737324539406021
.17487137.34547541807.54843034007201.93760075445980377.157146320305650540261
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..180
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FORMULA
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Empirical for column k:
k=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)
k=2: [order 12]
k=3: [order 23]
k=4: [order 54]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..1..0..1....0..0..2..1..0....0..0..2..1..2....0..0..0..1..2
..0..2..1..2..0....2..0..0..2..1....0..2..2..0..0....2..0..2..0..2
..2..1..0..2..0....0..0..2..0..0....1..2..0..2..2....0..0..1..0..1
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CROSSREFS
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Sequence in context: A237385 A237308 A237301 * A237938 A017630 A270538
Adjacent sequences: A237942 A237943 A237944 * A237946 A237947 A237948
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Feb 16 2014
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STATUS
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approved
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