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A236155
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock
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9
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81, 414, 414, 2148, 2502, 2148, 11064, 16128, 16128, 11064, 57132, 104436, 146568, 104436, 57132, 294648, 676980, 1351296, 1351296, 676980, 294648, 1520856, 4389660, 12511728, 18147240, 12511728, 4389660, 1520856, 7845624, 28462080
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OFFSET
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1,1
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COMMENTS
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Table starts
........81........414.........2148...........11064.............57132
.......414.......2502........16128..........104436............676980
......2148......16128.......146568.........1351296..........12511728
.....11064.....104436......1351296........18147240.........244951596
.....57132.....676980.....12511728.......244951596........4851646302
....294648....4389660....115757328......3314019456.......96273257880
...1520856...28462080...1072589616.....44844204096.....1913809658142
...7845624..184549536...9925448784....606910061856....38000812688892
..40488216.1196622156..91969145856...8213634056940...755541000404862
.208893336.7758928296.851086457904.111161636064708.15002127360689268
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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) +18*a(n-2) +16*a(n-3) +12*a(n-4) -12*a(n-5)
k=2: [order 8]
k=3: [order 23] for n>26
k=4: [order 62] for n>66
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EXAMPLE
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Some solutions for n=3 k=4
..0..0..1..2..1....0..0..2..2..1....0..0..1..2..2....0..0..0..1..2
..0..0..0..1..2....0..1..2..2..0....0..0..0..0..0....1..0..0..0..0
..1..0..0..0..2....2..2..1..0..0....2..0..0..1..2....0..2..2..1..1
..2..0..1..2..2....1..1..0..1..2....1..2..2..2..2....0..0..1..2..0
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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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