A236657 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the sum of the upper and lower median values of each 2X2 subblock

256, 2896, 2896, 32424, 70896, 32424, 370352, 1680044, 1680044, 370352, 4235056, 41161740, 81224020, 41161740, 4235056, 48229536, 1012773632, 4119658692, 4119658692, 1012773632, 48229536, 549313480, 24759554960, 211585138552

Offset

1,1

Comments

Table starts

........256.........2896..........32424.........370352........4235056

.......2896........70896........1680044.......41161740.....1012773632

......32424......1680044.......81224020.....4119658692...211585138552

.....370352.....41161740.....4119658692...443919273624.48580188585040

....4235056...1012773632...211585138552.48580188585040

...48229536..24759554960.10762574556276

..549313480.605124123248

.6261494544

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

Example

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

Crossrefs

Sequence in context: A235574 A235824 A235582 * A235579 A236654 A236198

Adjacent sequences: A236654 A236655 A236656 * A236658 A236659 A236660

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved