login
A230592
T(n,k)=Number of nXk 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero
5
0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 8, 28, 8, 0, 0, 30, 270, 270, 30, 0, 0, 120, 2966, 7078, 2966, 120, 0, 0, 506, 34684, 225010, 225010, 34684, 506, 0, 0, 2144, 405122, 7476932, 20908278, 7476932, 405122, 2144, 0, 0, 9030, 4682406, 239885668, 1902360932
OFFSET
1,8
COMMENTS
Table starts
.0....0.......0..........0............0............0............0
.0....0.......2..........8...........30..........120..........506
.0....2......28........270.........2966........34684.......405122
.0....8.....270.......7078.......225010......7476932....239885668
.0...30....2966.....225010.....20908278...1902360932.166037342468
.0..120...34684....7476932...1902360932.466409047158
.0..506..405122..239885668.166037342468
.0.2144.4682406.7573457652
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 5*a(n-1) -5*a(n-2) +5*a(n-3) +8*a(n-4)
k=3: [order 20]
EXAMPLE
Some solutions for n=3 k=4
..0..3..4..5....0..1..2..3....0..5..4..5....0..1..2..1....0..1..0..5
..1..2..1..0....3..4..1..4....1..4..1..0....5..4..3..2....5..2..5..4
..0..3..4..5....2..5..0..5....2..3..2..5....0..1..2..1....4..3..4..3
CROSSREFS
Sequence in context: A167291 A063865 A230275 * A282699 A182107 A337999
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Oct 24 2013
STATUS
approved