A236018 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock

81, 306, 306, 1276, 1126, 1276, 4672, 3744, 3744, 4672, 18784, 12544, 13750, 12544, 18784, 70688, 41844, 34288, 34288, 41844, 70688, 278352, 140716, 110274, 95848, 110274, 140716, 278352, 1062192, 471308, 313060, 267424, 267424, 313060, 471308

Offset

1,1

Comments

Table starts

.......81......306.....1276.....4672.....18784.....70688....278352....1062192

......306.....1126.....3744....12544.....41844....140716....471308....1580152

.....1276.....3744....13750....34288....110274....313060...1059410....2852400

.....4672....12544....34288....95848....267424....771564...2218212....6382872

....18784....41844...110274...267424....805458...2004428...5955918...15032200

....70688...140716...313060...771564...2004428...5805712..15065380...40075220

...278352...471308..1059410..2218212...5955918..15065380..46936958..106489596

..1062192..1580152..2852400..6382872..15032200..40075220.106489596..297400544

..4143280..5294132..9387554.18265360..44965942.108049932.303207968..746600772

.15915216.17749124.25937988.52177252.113000332.292941484.743343900.1956011364

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) +14*a(n-3) +30*a(n-4) +16*a(n-5) +8*a(n-6) for n>7

k=2: [order 9] for n>11

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..2..0..1..1....2..1..0..1..1....2..2..0..1..2....1..0..0..1..0
..1..1..0..1..1....1..2..1..1..1....1..2..1..0..0....0..0..0..1..2
..1..1..1..2..2....0..1..1..1..2....0..1..2..1..0....2..1..1..2..1
..2..1..1..2..2....1..1..1..0..0....0..0..1..2..2....1..1..1..1..0
..1..0..0..2..1....0..2..2..1..0....0..0..0..2..2....2..0..1..1..0

Crossrefs

Sequence in context: A236812 A237092 A206277 * A206685 A206270 A236011

Adjacent sequences: A236015 A236016 A236017 * A236019 A236020 A236021

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2014

Status

approved