A235437 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise

81, 583, 583, 3987, 10241, 3987, 26091, 169041, 169041, 26091, 167095, 2616323, 6802225, 2616323, 167095, 1054515, 39122513, 253925273, 253925273, 39122513, 1054515, 6595119, 570624077, 9047860107, 23147332121, 9047860107, 570624077

Offset

1,1

Comments

Table starts

.........81...........583............3987.............26091............167095

........583.........10241..........169041...........2616323..........39122513

.......3987........169041.........6802225.........253925273........9047860107

......26091.......2616323.......253925273.......23147332121.....2018613731175

.....167095......39122513......9047860107.....2018613731175...438547192107117

....1054515.....570624077....309625276947...168052583588803.91649890523565335

....6595119....8196586161..10293725576425.13459467429347941

...41000659..116562545251.334790471121909

..253895775.1647270158195

.1568132115

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)

k=2: [order 39]

Example

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

Crossrefs

Sequence in context: A236082 A235737 A236490 * A235432 A206064 A359607

Adjacent sequences: A235434 A235435 A235436 * A235438 A235439 A235440

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2014

Status

approved