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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 25 21:23 EST 2021. Contains 340427 sequences. (Running on oeis4.)