A237391 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the minimum of every 2X2 subblock

81, 434, 434, 2336, 3240, 2336, 12624, 24340, 24340, 12624, 68064, 183764, 255937, 183764, 68064, 366568, 1379886, 2712486, 2712486, 1379886, 366568, 1976940, 10406596, 28732972, 41204198, 28732972, 10406596, 1976940, 10657560, 78612538

Offset

1,1

Comments

Table starts

........81.........434..........2336..........12624...........68064

.......434........3240.........24340.........183764.........1379886

......2336.......24340........255937........2712486........28732972

.....12624......183764.......2712486.......41204198.......629612266

.....68064.....1379886......28732972......629612266.....14010191373

....366568....10406596.....306543648.....9678405410....312459028946

...1976940....78612538....3277420369...148794944054...6958669132771

..10657560...593121116...34947393232..2283761004002.154932883163426

..57441532..4469323758..371861162189.34983096932494

.309578264.33698637958.3961014934240

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 20]

k=2: [order 58] for n>59

Example

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

Crossrefs

Sequence in context: A235421 A236282 A235417 * A237385 A237308 A237301

Adjacent sequences: A237388 A237389 A237390 * A237392 A237393 A237394

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2014

Status

approved