A237911 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1780, 1780, 12552, 22128, 12552, 88544, 271292, 271292, 88544, 635200, 3324618, 5802892, 3324618, 635200, 4438816, 40005364, 117244060, 117244060, 40005364, 4438816, 31507328, 490622010, 2545423850, 4562312788, 2545423850

Offset

1,1

Comments

Table starts

.......256........1780..........12552.............88544..............635200

......1780.......22128.........271292...........3324618............40005364

.....12552......271292........5802892.........117244060..........2545423850

.....88544.....3324618......117244060........4562312788........184156121060

....635200....40005364.....2545423850......184156121060......14526116666620

...4438816...490622010....54765533116.....7708485009320....1097530057048636

..31507328..6035315040..1229739987068...311133242528216...87005840880652470

.221652256.73714662652.25859231001772.12673056415040032.6730336129491899232

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical for column k:

k=1: [linear recurrence of order 16] for n>17

k=2: [order 46]

Example

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

Crossrefs

Sequence in context: A205944 A238306 A205937 * A237905 A238145 A238140

Adjacent sequences: A237908 A237909 A237910 * A237912 A237913 A237914

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2014

Status

approved