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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 21 15:02 EDT 2019. Contains 323443 sequences. (Running on oeis4.)