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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. 6
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 27 10:04 EDT 2022. Contains 354896 sequences. (Running on oeis4.)