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A183362 T(n,k)=One quarter the number of nXk 1..4 arrays with no two neighbors of any element equal to each other 10
1, 4, 4, 12, 36, 12, 36, 144, 144, 36, 108, 576, 432, 576, 108, 324, 2304, 1296, 1296, 2304, 324, 972, 9216, 3888, 3600, 3888, 9216, 972, 2916, 36864, 11664, 9216, 9216, 11664, 36864, 2916, 8748, 147456, 34992, 24336, 24192, 24336, 34992, 147456, 8748 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.....1.......4.....12......36.....108.....324.....972.....2916.....8748

.....4......36....144.....576....2304....9216...36864...147456...589824

....12.....144....432....1296....3888...11664...34992...104976...314928

....36.....576...1296....3600....9216...24336...63504...166464...435600

...108....2304...3888....9216...24192...57600..137088...331776...802944

...324....9216..11664...24336...57600..147456..331776...746496..1679616

...972...36864..34992...63504..137088..331776..829440..1806336..3852288

..2916..147456.104976..166464..331776..746496.1806336..4460544..9437184

..8748..589824.314928..435600..802944.1679616.3852288..9437184.23003136

.26244.2359296.944784.1140624.1937664.3873024.8294400.19501056.47775744

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..335

EXAMPLE

Some solutions for 6X5 with a(1,1)=1

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

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

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

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

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

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

CROSSREFS

Column 1 is A003946(n-1)

Sequence in context: A106232 A228612 A038804 * A088838 A127403 A276423

Adjacent sequences:  A183359 A183360 A183361 * A183363 A183364 A183365

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 04 2011

STATUS

approved

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Last modified August 18 07:30 EDT 2019. Contains 326072 sequences. (Running on oeis4.)