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

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

R. H. Hardin, Table of n, a(n) for n = 1..84

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

Adjacent sequences: A230991 A230992 A230993 * A230995 A230996 A230997

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 02 2013

Status

approved