A236618 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median of every 2X2 subblock

81, 390, 390, 1885, 2586, 1885, 8876, 17114, 17114, 8876, 41473, 106184, 147683, 106184, 41473, 193372, 645208, 1064688, 1064688, 645208, 193372, 912752, 4152180, 8747914, 11752026, 8747914, 4152180, 912752, 4290712, 26549772, 75546260

Offset

1,1

Comments

Table starts

.......81........390.........1885...........8876.............41473

......390.......2586........17114.........106184............645208

.....1885......17114.......147683........1064688...........8747914

.....8876.....106184......1064688.......11752026.........145448960

....41473.....645208......8747914......145448960........2918167210

...193372....4152180.....75546260.....1982594584.......59704230348

...912752...26549772....676215558....25479024204.....1284370885164

..4290712..165983800...5559284940...338049637996....27062375627720

.20084444.1030960714..47828701612..4414473050442...586185349299850

.93983432.6559482790.413368542268.60726673303940.12310822397997156

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 11] for n>13

k=2: [order 36] for n>40

Example

Some solutions for n=3 k=4
..0..0..2..1..0....0..0..0..2..0....0..0..1..1..2....0..0..2..2..1
..1..0..0..2..0....1..0..0..0..1....0..0..0..2..0....1..1..0..0..0
..1..0..1..0..2....2..0..2..1..0....1..1..2..1..0....2..1..1..0..2
..2..2..1..1..0....2..1..0..2..0....0..2..0..0..1....2..2..1..1..0

Crossrefs

Sequence in context: A233157 A237108 A237101 * A236611 A236719 A236712

Adjacent sequences: A236615 A236616 A236617 * A236619 A236620 A236621

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 29 2014

Status

approved