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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..544

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: A237375 A237368 A017078 * A236048 A235954 A235947

Adjacent sequences:  A236052 A236053 A236054 * A236056 A236057 A236058

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 18 2014

STATUS

approved

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Last modified October 21 20:44 EDT 2019. Contains 328315 sequences. (Running on oeis4.)