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A230994
T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero
5
0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 16, 14, 16, 0, 0, 66, 182, 182, 66, 0, 0, 396, 2364, 10914, 2364, 396, 0, 0, 2172, 36020, 465638, 465638, 36020, 2172, 0, 0, 12094, 513774, 20549430, 57701860, 20549430, 513774, 12094, 0, 0, 66948, 7466956, 899786196
OFFSET
1,5
COMMENTS
Table starts
.0.....0.......0...........0...............0................0................0
.0.....2.......2..........16..............66..............396.............2172
.0.....2......14.........182............2364............36020...........513774
.0....16.....182.......10914..........465638.........20549430........899786196
.0....66....2364......465638........57701860.......7659817624....1002758638600
.0...396...36020....20549430......7659817624....3052462730072.1196835020970200
.0..2172..513774...899786196...1002758638600.1196835020970200
.0.12094.7466956.39531660010.131716860513628
LINKS
FORMULA
Empirical for column k:
k=2: [linear recurrence order 9]
k=3: [order 49]
EXAMPLE
Some solutions for n=3 k=4
..0..3..2..1....0..3..0..0....0..3..2..3....0..1..3..0....0..1..2..3
..1..2..0..1....1..2..1..3....1..0..1..0....3..2..1..1....3..3..0..3
..2..3..3..2....3..0..1..2....2..3..2..1....3..0..3..2....2..1..1..2
CROSSREFS
Sequence in context: A230831 A230899 A230805 * A337509 A144734 A029361
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 02 2013
STATUS
approved