A236640 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median plus the minimum of every 2X2 subblock

81, 474, 474, 2796, 4176, 2796, 16588, 37018, 37018, 16588, 98368, 334180, 499072, 334180, 98368, 582304, 2988228, 6889628, 6889628, 2988228, 582304, 3448740, 26755684, 93754871, 148743254, 93754871, 26755684, 3448740, 20433016

Offset

1,1

Comments

Table starts

........81..........474..........2796..........16588...........98368

.......474.........4176.........37018.........334180.........2988228

......2796........37018........499072........6889628........93754871

.....16588.......334180.......6889628......148743254......3132727426

.....98368......2988228......93754871.....3132727426....101302533917

....582304.....26755684....1276545834....66206031424...3290316038130

...3448740....239823278...17430577162..1403054072202.107344851887817

..20433016...2152052046..238378816652.29844445444698

.121047396..19284072120.3253415745852

.716976816.172791130750

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: [linear recurrence of order 21]

k=2: [order 72] for n>73

Example

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

Crossrefs

Sequence in context: A254422 A253517 A237683 * A236780 A237678 A236635

Adjacent sequences: A236637 A236638 A236639 * A236641 A236642 A236643

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved