A236262 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays colored with the sets of distinct values in every 2 X 2 subblock, with new values 0..3 introduced row-major order.

15, 132, 132, 1571, 3798, 1571, 18995, 112194, 112194, 18995, 230395, 3315908, 8080990, 3315908, 230395, 2794651, 97991800, 582449912, 582449912, 97991800, 2794651, 33899863, 2895999006, 41971475967, 102557201298, 41971475967

Offset

1,1

Comments

Table starts:

........15.........132..........1571..........18995.........230395

.......132........3798........112194........3315908.......97991800

......1571......112194.......8080990......582449912....41971475967

.....18995.....3315908.....582449912...102557201298.18043516803602

....230395....97991800...41971475967.18043516803602

...2794651..2895999006.3024814165927

..33899863.85585437564

.411212991

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 8] for n>9.

k=2: [order 21] for n>23.

Example

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

Crossrefs

Sequence in context: A155656 A244878 A275101 * A227814 A369416 A236259

Adjacent sequences: A236259 A236260 A236261 * A236263 A236264 A236265

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 21 2014

Status

approved