A235506 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the sum of each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

256, 2982, 2982, 33640, 108648, 33640, 343500, 3945383, 3945383, 343500, 3415268, 123132965, 490074558, 123132965, 3415268, 32611962, 3714091695, 51929974331, 51929974331, 3714091695, 32611962, 306033109, 103423011021, 5302813444717

Offset

1,1

Comments

Table starts

......256.........2982...........33640..............343500..............3415268

.....2982.......108648.........3945383...........123132965...........3714091695

....33640......3945383.......490074558.........51929974331........5302813444717

...343500....123132965.....51929974331......19569523022916.....7279199801456820

..3415268...3714091695...5302813444717....7279199801456820.10251146884479114976

.32611962.103423011021.486511569699939.2418013523229434607

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Formula

Empirical for column k:

k=1: [linear recurrence of order 22]

Example

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

Crossrefs

Sequence in context: A236142 A236139 A235747 * A235502 A236202 A236199

Adjacent sequences: A235503 A235504 A235505 * A235507 A235508 A235509

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 11 2014

Status

approved