A237683 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median plus the lower median minus the minimum of every 2X2 subblock

81, 474, 474, 2741, 4146, 2741, 15948, 35620, 35620, 15948, 93093, 308814, 449258, 308814, 93093, 541880, 2688928, 5732688, 5732688, 2688928, 541880, 3152844, 23395998, 74265677, 109962932, 74265677, 23395998, 3152844, 18356756

Offset

1,1

Comments

Table starts

........81.........474.........2741........15948.........93093........541880

.......474........4146........35620.......308814.......2688928......23395998

......2741.......35620.......449258......5732688......74265677.....959069036

.....15948......308814......5732688....109962932....2160608712...42145629006

.....93093.....2688928.....74265677...2160608712...65107866022.1938146594012

....541880....23395998....959069036..42145629006.1938146594012

...3152844...203035400..12309130146.813403060652

..18356756..1763640726.158172430796

.106893088.15330212940

.622285828

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

k=2: [order 67] for n>69

Example

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

Crossrefs

Sequence in context: A253524 A254422 A253517 * A236640 A236780 A237678

Adjacent sequences: A237680 A237681 A237682 * A237684 A237685 A237686

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 11 2014

Status

approved