A267974 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

4, 16, 16, 64, 256, 60, 250, 4096, 3600, 222, 964, 62500, 216000, 49284, 804, 3674, 929296, 12067722, 10941048, 646416, 2872, 13868, 13498276, 648144348, 2208460532, 519718464, 8248384, 10132, 51917, 192321424, 33600202086

Offset

1,1

Comments

Table starts

......4..........16.............64..............250................964

.....16.........256...........4096............62500.............929296

.....60........3600.........216000.........12067722..........648144348

....222.......49284.......10941048.......2208460532.......422888259007

....804......646416......519718464.....370962601314....247835569655956

...2872.....8248384....23689358848...58977586280183.135605581008614210

..10132...102657424..1040125019968.8920181825287255

..35383..1251956689.44297983526887

.122480.15001350400

.420752

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 8]

k=2: [order 21]

k=3: [order 40]

Empirical for row n:

n=1: [linear recurrence of order 8]

n=2: [order 21]

Example

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

Crossrefs

Column 1 is A267928.

Column 2 is A267929.

Sequence in context: A339570 A223071 A232431 * A267997 A229105 A223585

Adjacent sequences: A267971 A267972 A267973 * A267975 A267976 A267977

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 23 2016

Status

approved