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A230526
T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero
8
0, 0, 0, 0, 12, 0, 0, 78, 78, 0, 0, 576, 1408, 576, 0, 0, 4374, 29618, 29618, 4374, 0, 0, 32832, 627350, 1787448, 627350, 32832, 0, 0, 246726, 13230788, 110423366, 110423366, 13230788, 246726, 0, 0, 1854576, 279167078, 6768331956, 19885757988
OFFSET
1,5
COMMENTS
Table starts
.0.......0..........0..............0..................0.....................0
.0......12.........78............576...............4374.................32832
.0......78.......1408..........29618.............627350..............13230788
.0.....576......29618........1787448..........110423366............6768331956
.0....4374.....627350......110423366........19885757988.........3550368078592
.0...32832...13230788.....6768331956......3550368078592......1844551938024312
.0..246726..279167078...415065958262....634283945584134....959021374133908722
.0.1854576.5890518102.25457364392092.113331393339170666.498682290491203324876
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 6*a(n-1) +9*a(n-2) +18*a(n-3)
k=3: [order 9]
k=4: [order 15]
k=5: [order 52]
EXAMPLE
Some solutions for n=3 k=4
..0..2..0..2....0..2..2..2....0..2..1..2....0..0..0..2....0..1..0..0
..1..0..1..2....2..1..1..0....2..1..2..0....1..0..1..0....0..2..1..2
..2..1..2..0....0..2..1..2....0..0..1..1....2..0..2..1....2..1..1..1
CROSSREFS
Sequence in context: A347802 A230926 A064141 * A156401 A246223 A199542
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 22 2013
STATUS
approved