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A230730
T(n,k)=Number of nXk 0..5 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero
9
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 30, 0, 0, 0, 0, 30, 260, 396, 0, 0, 0, 0, 120, 2790, 9760, 6212, 0, 0, 0, 0, 506, 32094, 287616, 389148, 95412, 0, 0, 0, 0, 2144, 376934, 9059304, 31533840, 15237056, 1459082, 0, 0, 0, 0, 9030, 4362078, 292876646
OFFSET
1,12
COMMENTS
Table starts
.0.0.0........0...........0..............0.................0
.0.0.0........2...........8.............30...............120
.0.0.0.......30.........260...........2790.............32094
.0.0.0......396........9760.........287616...........9059304
.0.0.0.....6212......389148.......31533840........2754151172
.0.0.0....95412....15237056.....3392436180......819577760474
.0.0.0..1459082...597115044...364767453384...243012308326942
.0.0.0.22379112.23414415888.39242855355538.72110003488927180
LINKS
FORMULA
Empirical for column k:
k=4: a(n) = 16*a(n-1) -12*a(n-2) +87*a(n-3) -918*a(n-4) +61*a(n-5) -a(n-6)
k=5: [order 7] for n>8
k=6: [order 50] for n>51
Empirical for row n:
n=2: a(n) = 5*a(n-1) -5*a(n-2) +5*a(n-3) +8*a(n-4) for n>5
n=3: [order 31] for n>34
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..3....0..1..2..3....0..1..4..5....0..1..0..3....0..1..2..3
..2..3..4..5....0..5..4..3....2..3..0..5....2..3..4..3....0..5..4..3
..0..1..0..5....0..1..2..3....2..1..0..5....2..5..2..5....4..3..0..5
..2..3..4..3....0..5..4..3....0..3..4..3....0..1..0..5....2..1..0..5
CROSSREFS
Row 2 is A230588(n-1)
Sequence in context: A364055 A184366 A230614 * A299905 A225783 A135468
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 28 2013
STATUS
approved