A235565 T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the difference of the upper and lower median value of each 2 X 2 subblock in lexicographically nondecreasing order rowwise and columnwise.

81, 537, 537, 3199, 8345, 3199, 17837, 113391, 113391, 17837, 95679, 1383617, 3793647, 1383617, 95679, 498597, 15633605, 114840543, 114840543, 15633605, 498597, 2546207, 165947729, 3160338477, 9226436673, 3160338477, 165947729

Offset

1,1

Comments

Table starts

........81..........537...........3199............17837.............95679

.......537.........8345.........113391..........1383617..........15633605

......3199.......113391........3793647........114840543........3160338477

.....17837......1383617......114840543.......9226436673......682927935295

.....95679.....15633605.....3160338477.....682927935295...142306326935545

....498597....165947729....79254774059...45560931506381.27003055042316513

...2546207...1680360507..1838291205271.2748535870959415

..12796069..16368643767.39837425003517

..63520287.154629524369

.312150917

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 10],

k=2: [order 67].

Example

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

Crossrefs

Sequence in context: A236641 A253307 A235784 * A235560 A253468 A253462

Adjacent sequences: A235562 A235563 A235564 * A235566 A235567 A235568

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 12 2014

Status

approved