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A230686 T(n,k)=Number of nXk 0..6 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 7, and upper left element zero 7
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 68, 360, 32, 0, 0, 0, 0, 2, 1500, 24050, 15624, 432, 0, 0, 0, 0, 8, 18468, 974548, 2756394, 575280, 5182, 0, 0, 0, 0, 32, 199358, 30543988, 296568384, 272728160, 19355400, 58298, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,25

COMMENTS

Table starts

.0.0.0.....0........0.........0.........0...........0.........0.......0...0.0

.0.0.0.....0........0.........0.........0...........2.........8......32.120

.0.0.0.....0........0........68......1500.......18468....199358.2097950

.0.0.0.....2......360.....24050....974548....30543988.887242598

.0.0.0....32....15624...2756394.296568384.24842737670

.0.0.0...432...575280.272728160

.0.0.0..5182.19355400

.0.0.0.58298

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

FORMULA

Empirical for row n:

n=2: a(n) = 4*a(n-1) -4*a(n-3) -8*a(n-4) -12*a(n-5) -17*a(n-6) -10*a(n-7) for n>8

Empirical for column k:

k=4: [order 9]

k=5: [order 11] for n>12

EXAMPLE

All solutions for n=4 k=4

..0..1..0..6....0..1..2..3

..2..3..5..4....0..6..4..5

..4..5..3..2....5..4..6..0

..6..0..1..0....3..2..1..0

CROSSREFS

Row 2 is A230529(n-1)

Sequence in context: A019261 A019222 A019141 * A341001 A221836 A279372

Adjacent sequences:  A230683 A230684 A230685 * A230687 A230688 A230689

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 27 2013

STATUS

approved

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Last modified December 7 15:24 EST 2021. Contains 349581 sequences. (Running on oeis4.)