A236451 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the maximum and minimum in each 2X2 subblock

256, 2116, 2116, 17258, 25172, 17258, 136208, 280436, 280436, 136208, 1080984, 3081484, 4535608, 3081484, 1080984, 8564392, 33804644, 66621676, 66621676, 33804644, 8564392, 67897642, 372302304, 1010208094, 1449135596, 1010208094

Offset

1,1

Comments

Table starts

........256.........2116..........17258...........136208.............1080984

.......2116........25172.........280436..........3081484............33804644

......17258.......280436........4535608.........66621676..........1010208094

.....136208......3081484.......66621676.......1449135596.........33053505704

....1080984.....33804644.....1010208094......33053505704.......1166414287888

....8564392....372302304....15722137048.....776197082280......41279981011320

...67897642...4107125100...247623908622...18067929385444....1477275293586586

..538065184..45253160716..3790739028840..417098720716876...52628266318084400

.4265291002.498239745892.58545992300474.9663226837691844.1890840513888912176

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

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

k=2: [order 34] for n>37

Example

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

Crossrefs

Sequence in context: A237333 A221487 A014711 * A236445 A205954 A205466

Adjacent sequences: A236448 A236449 A236450 * A236452 A236453 A236454

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 26 2014

Status

approved