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A230915 T(n,k)=Number of nXk 0..7 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 8, and upper left element zero 7
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 8, 164, 118, 0, 0, 0, 0, 32, 1650, 5714, 1506, 0, 0, 0, 0, 118, 17694, 154352, 221768, 20028, 0, 0, 0, 0, 440, 200654, 4725576, 16515468, 9144134, 271450, 0, 0, 0, 0, 1664, 2327434, 148720522 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,17

COMMENTS

Table starts

.0.0.0.......0...........0..............0...............0...............0

.0.0.0.......0...........2..............8..............32.............118

.0.0.0.......8.........164...........1650...........17694..........200654

.0.0.0.....118........5714.........154352.........4725576.......148720522

.0.0.0....1506......221768.......16515468......1406791226....123455818582

.0.0.0...20028.....9144134.....1821132074....433315174684.107053049550326

.0.0.0..271450...372256436...198872246508.132452949993492

.0.0.0.3678640.15083831290.21679064102116

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..95

FORMULA

Empirical for column k:

k=4: a(n) = 18*a(n-1) -91*a(n-2) +469*a(n-3) -919*a(n-4) +2152*a(n-5) -93*a(n-6) +a(n-7)

k=5: [order 9] for n>10

Empirical for row n:

n=2: a(n) = 5*a(n-1) -4*a(n-2) -5*a(n-3) +9*a(n-4) +12*a(n-5) for n>6

n=3: [order 49] for n>52

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..7....0..1..0..7....0..1..2..1....0..1..2..3....0..1..2..3

..2..3..6..5....2..3..6..3....2..3..0..7....0..1..4..5....0..7..4..3

..4..5..4..3....4..5..4..3....4..5..6..5....0..7..6..5....6..5..2..1

CROSSREFS

Row 2 is A230509(n-1)

Sequence in context: A050809 A246516 A095217 * A242922 A242530 A073410

Adjacent sequences:  A230912 A230913 A230914 * A230916 A230917 A230918

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 01 2013

STATUS

approved

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Last modified January 17 16:39 EST 2019. Contains 319235 sequences. (Running on oeis4.)