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

Author

R. H. Hardin, Feb 07 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

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