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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..125

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: A107503 A184366 A230614 * A299905 A225783 A135468

Adjacent sequences:  A230727 A230728 A230729 * A230731 A230732 A230733

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 28 2013

STATUS

approved

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Last modified October 31 08:46 EDT 2020. Contains 338101 sequences. (Running on oeis4.)