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

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

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: A237368 A017078 A359245 * A236048 A235954 A235947

Adjacent sequences: A236052 A236053 A236054 * A236056 A236057 A236058

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2014

Status

approved