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A268073 T(n,k)=Number of nXk 0..3 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, 15, 4, 12, 159, 159, 12, 39, 2191, 7445, 2191, 39, 138, 30295, 381958, 381958, 30295, 138, 499, 421471, 18691624, 70985206, 18691624, 421471, 499, 1830, 5797959, 911680225, 12341773443, 12341773443, 911680225, 5797959, 1830, 6723, 79367143 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........2.............4..............12...............39..............138

....2.......15...........159............2191............30295...........421471

....4......159..........7445..........381958.........18691624........911680225

...12.....2191........381958........70985206......12341773443....2135811945390

...39....30295......18691624.....12341773443....7496016439865.4526538615127374

..138...421471.....911680225...2135811945390.4526538615127374

..499..5797959...43653230106.360625109847257

.1830.79367143.2074179818184

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -3*a(n-2) -30*a(n-3) +28*a(n-4) +36*a(n-5) -36*a(n-6) for n>8

k=2: [order 11] for n>13

k=3: [order 75]

EXAMPLE

Some solutions for n=3 k=4

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

..0..1..2..2....0..1..2..3....0..1..0..3....0..2..1..1....0..3..0..1

..3..1..1..2....1..3..2..0....3..1..0..1....2..2..0..1....2..2..1..2

CROSSREFS

Column 3 is A268007.

Sequence in context: A153959 A308847 A006205 * A204685 A205161 A205310

Adjacent sequences:  A268070 A268071 A268072 * A268074 A268075 A268076

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 25 2016

STATUS

approved

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Last modified May 7 16:00 EDT 2021. Contains 343652 sequences. (Running on oeis4.)