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A267957 T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. 5
1, 2, 2, 4, 14, 4, 11, 96, 96, 11, 29, 726, 1625, 726, 29, 77, 5046, 30145, 30145, 5046, 77, 201, 35574, 493087, 1414023, 493087, 35574, 201, 525, 242406, 8239879, 56103165, 56103165, 8239879, 242406, 525, 1361, 1653750, 130870815, 2290723921 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........2............4..............11...............29................77

....2.......14...........96.............726.............5046.............35574

....4.......96.........1625...........30145...........493087...........8239879

...11......726........30145.........1414023.........56103165........2290723921

...29.....5046.......493087........56103165.......5180448783......495859988413

...77....35574......8239879......2290723921.....495859988413...112089546220707

..201...242406....130870815.....87407239371...43614373673363.22894037516177941

..525..1653750...2082478515...3343976341229.3849196727799125

.1361.11113926..32398824901.124140022659137

.3525.74553750.502697528961

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +2*a(n-2) -8*a(n-3) for n>5

k=2: [order 6] for n>8

k=3: [order 56]

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..0....0..1..0..0....0..0..1..0....0..1..0..1....0..1..0..0

..0..1..1..2....2..2..1..2....1..2..1..1....1..0..1..1....2..2..1..0

..1..0..0..1....2..1..0..0....0..0..2..1....1..2..2..0....1..0..0..1

CROSSREFS

Column 1 is A267912.

Column 2 is A267913.

Sequence in context: A248238 A268009 A263224 * A204978 A204705 A206650

Adjacent sequences:  A267954 A267955 A267956 * A267958 A267959 A267960

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 22 2016

STATUS

approved

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Last modified July 26 20:29 EDT 2021. Contains 346295 sequences. (Running on oeis4.)