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A236055
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock
9
81, 292, 292, 1112, 1068, 1112, 3760, 3516, 3516, 3760, 13716, 11656, 12686, 11656, 13716, 46828, 38700, 32608, 32608, 38700, 46828, 169500, 128920, 103986, 92392, 103986, 128920, 169500, 582300, 429252, 297316, 258432, 258432, 297316, 429252
OFFSET
1,1
COMMENTS
Table starts
......81......292.....1112.....3760.....13716.....46828....169500.....582300
.....292.....1068.....3516....11656.....38700....128920....429252....1429352
....1112.....3516....12686....32608....103986....297316....981554....2710176
....3760....11656....32608....92392....258432....741592...2124772....6124496
...13716....38700...103986...258432....773442...1937236...5670054...14489552
...46828...128920...297316...741592...1937236...5604400..14531028...38664192
..169500...429252...981554..2124772...5670054..14531028..44834198..103052284
..582300..1429352..2710176..6124496..14489552..38664192.103052284..289134368
.2096012..4757532..8760338.17547052..42828498.103940452.289710868..725386420
.7237244.15839544.24641412.50132124.109031092.281356668.714991524.1894909600
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 9*a(n-2) +4*a(n-3) +24*a(n-4) +12*a(n-5) +8*a(n-6) for n>8
k=2: a(n) = a(n-1) +4*a(n-2) +5*a(n-3) +21*a(n-4) +12*a(n-5) +4*a(n-6) for n>9
k=3: a(n) = 5*a(n-2) +42*a(n-4) -21*a(n-6) -207*a(n-8) for n>13
k=4: [order 13] for n>16
k=5: [order 26] for n>29
k=6: [order 34] for n>40
k=7: [order 56] for n>63
EXAMPLE
Some solutions for n=4 k=4
..1..0..1..1..1....0..2..2..0..0....2..0..0..2..1....2..1..2..1..1
..0..1..2..1..1....1..1..1..0..0....1..1..1..2..2....0..1..1..0..0
..2..1..1..0..1....0..1..1..1..2....2..1..1..1..0....0..1..1..1..2
..1..1..1..1..2....2..2..1..1..2....0..0..1..1..0....2..2..1..1..2
..0..2..1..1..2....2..2..0..1..0....0..1..2..2..2....1..1..0..1..0
CROSSREFS
Sequence in context: A237368 A017078 A359245 * A236048 A235954 A235947
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 18 2014
STATUS
approved