A235818 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

256, 2894, 2894, 28978, 87888, 28978, 268448, 2287822, 2273170, 268448, 2377726, 52447112, 153490516, 52510194, 2377726, 20374112, 1113883030, 8998042696, 9225012664, 1128547722, 20374112, 170668898, 22196597522, 482216047328

Offset

1,1

Comments

Table starts

........256.........2894..........28978..........268448.........2377726

.......2894........87888........2287822........52447112......1113883030

......28978......2273170......153490516......8998042696....482216047328

.....268448.....52510194.....9225012664...1441675265430.209596416266780

....2377726...1128547722...513135357020.220346049497754

...20374112..22902973310.26782783497172

..170668898.445722551604

.1404828230

Links

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

Example

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

Crossrefs

Column 1 and row 1 are A235574

Sequence in context: A236134 A236588 A236585 * A235577 A235574 A235824

Adjacent sequences: A235815 A235816 A235817 * A235819 A235820 A235821

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 16 2014

Status

approved