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A268009 T(n,k)=Number of nXk 0..k 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. 6
1, 2, 2, 4, 14, 3, 12, 159, 96, 5, 40, 3183, 7445, 726, 7, 154, 88243, 1396408, 381958, 5046, 11, 656, 3222467, 454238345, 700411548, 18691624, 35574, 15, 3074, 147078491, 231327070236, 2833253114538, 342829793123, 911680225, 242406, 23 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1.......2...........4..............12................40...............154

..2......14.........159............3183.............88243...........3222467

..3......96........7445.........1396408.........454238345......231327070236

..5.....726......381958.......700411548.....2833253114538.21815272076639694

..7....5046....18691624....342829793123.17551555370610669

.11...35574...911680225.166704329683286

.15..242406.43653230106

.23.1653750

.31

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..45

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +2*a(n-2) -2*a(n-3)

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

k=3: [order 75]

EXAMPLE

Some solutions for n=3 k=4

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

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

..3..1..3..1....2..0..0..2....3..4..4..3....1..2..0..1....4..2..4..4

CROSSREFS

Column 1 is A052955(n-1).

Column 2 is A267913.

Sequence in context: A048157 A130797 A248238 * A263224 A267957 A204978

Adjacent sequences:  A268006 A268007 A268008 * A268010 A268011 A268012

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 24 2016

STATUS

approved

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Last modified September 24 06:13 EDT 2021. Contains 347623 sequences. (Running on oeis4.)