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A233147
T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order
8
1, 2, 2, 6, 16, 6, 23, 225, 225, 23, 99, 3727, 13259, 3727, 99, 452, 65120, 845917, 845917, 65120, 452, 2136, 1158334, 54777233, 198313130, 54777233, 1158334, 2136, 10313, 20726079, 3556749764, 46648134615, 46648134615, 3556749764, 20726079
OFFSET
1,2
COMMENTS
Table starts
......1............2.................6......................23
......2...........16...............225....................3727
......6..........225.............13259..................845917
.....23.........3727............845917...............198313130
.....99........65120..........54777233.............46648134615
....452......1158334........3556749764..........10976545771938
...2136.....20726079......231058112982........2582927810338210
..10313....371568349....15011638934832......607799571521107132
..50469...6665506622...975308641633714...143023917159921251486
.249062.119595908140.63366149608139911.33655571006177475521033
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 9*a(n-1) -23*a(n-2) +15*a(n-3)
k=2: a(n) = 25*a(n-1) -134*a(n-2) +134*a(n-3) -25*a(n-4) +a(n-5)
k=3: [order 10] for n>11
k=4: [order 27] for n>28
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..0..0..0....0..0..0..1....0..0..1..1....0..0..0..1
..1..2..2..2....1..2..2..4....1..0..2..5....2..0..1..5....0..0..2..2
..2..1..2..4....5..5..2..4....3..4..5..5....1..2..2..2....3..1..0..2
CROSSREFS
Column 1 is A233106
Sequence in context: A330798 A260687 A083555 * A336633 A001464 A067136
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 04 2013
STATUS
approved