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A230513 T(n,k)=Number of nXk 0..7 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 8, and upper left element zero 5
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 16, 2, 0, 0, 8, 170, 170, 8, 0, 0, 32, 1716, 4648, 1716, 32, 0, 0, 118, 18588, 129874, 129874, 18588, 118, 0, 0, 440, 215314, 4038314, 10308020, 4038314, 215314, 440, 0, 0, 1664, 2510424, 129829460, 918775180, 918775180 (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...0.......0.........2.........8........32.........118........440.....1664

.0...0......16.......170......1716.....18588......215314....2510424.29109876

.0...2.....170......4648....129874...4038314...129829460.4177480490

.0...8....1716....129874..10308020.918775180.84808478358

.0..32...18588...4038314.918775180

.0.118..215314.129829460

.0.440.2510424

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

FORMULA

Empirical for column k:

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

k=3: [order 32]

EXAMPLE

Some solutions for n=3 k=4

..0..7..6..5....0..7..0..1....0..7..6..5....0..1..2..1....0..1..0..1

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

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

CROSSREFS

Sequence in context: A031361 A155955 A221076 * A300138 A217028 A145684

Adjacent sequences: A230510 A230511 A230512 * A230514 A230515 A230516

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 21 2013

STATUS

approved

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Last modified February 8 08:49 EST 2023. Contains 360138 sequences. (Running on oeis4.)