A236123 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the sets of distinct values in every 2X2 subblock

256, 3096, 3096, 37584, 91128, 37584, 455808, 2692656, 2692656, 455808, 5529360, 79581792, 193943760, 79581792, 5529360, 67071552, 2351803200, 13978797888, 13978797888, 2351803200, 67071552, 813596592, 69503976144, 1007315423208

Offset

1,1

Comments

Table starts

........256..........3096..........37584..........455808.........5529360

.......3096.........91128........2692656........79581792......2351803200

......37584.......2692656......193943760.....13978797888...1007315423208

.....455808......79581792....13978797888...2461372831152.433044403286448

....5529360....2351803200..1007315423208.433044403286448

...67071552...69503976144.72595539982248

..813596592.2054050501536

.9869111712

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Formula

Empirical for column k:

k=1: a(n) = 6*a(n-1) +59*a(n-2) +164*a(n-3) +264*a(n-4) +96*a(n-5) -144*a(n-6)

k=2: [order 21]

Example

Some solutions for n=2 k=4
..0..0..3..1..2....0..0..0..2..3....0..0..0..2..3....0..0..3..1..3
..0..0..3..3..0....0..0..1..2..0....0..0..3..2..3....0..0..1..3..2
..0..1..0..0..1....0..2..2..1..1....0..1..2..1..0....0..2..3..2..0

Crossrefs

Sequence in context: A236299 A236296 A138333 * A236120 A205037 A236133

Adjacent sequences: A236120 A236121 A236122 * A236124 A236125 A236126

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 19 2014

Status

approved