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URL: https://oeis.org/A183362

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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
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
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: A359709 A228612 A038804 * A387551 A386291 A353615
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 04 2011
STATUS
approved