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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
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 29 2014
STATUS
approved