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A208175
T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors
7
1, 2, 2, 5, 13, 5, 15, 159, 159, 15, 51, 2277, 8469, 2277, 51, 187, 33831, 473928, 473928, 33831, 187, 715, 506493, 26625693, 99752346, 26625693, 506493, 715, 2795, 7594479, 1496307201, 21002874867, 21002874867, 1496307201, 7594479, 2795, 11051
OFFSET
1,2
COMMENTS
Table starts
....1.........2.............5.................15.....................51
....2........13...........159...............2277..................33831
....5.......159..........8469.............473928...............26625693
...15......2277........473928...........99752346............21002874867
...51.....33831......26625693........21002874867.........16567902881244
..187....506493....1496307201......4422202024212......13069424064243420
..715...7594479...84091222866....931104734002155...10309684155118737894
.2795.113908437.4725865313907.196046229442844736.8132690993759302714128
LINKS
EXAMPLE
Some solutions for n=4 k=3
..0..0..0....0..0..0....0..1..0....0..1..0....0..1..1....0..0..0....0..0..1
..0..1..2....0..1..0....0..2..2....0..2..3....1..0..0....0..1..1....0..1..0
..1..2..3....1..2..1....1..2..1....3..0..0....0..1..0....1..2..0....0..0..1
..1..0..0....0..1..3....1..3..2....2..1..3....1..0..1....1..0..1....1..1..0
CROSSREFS
Column 1 is A007581(n-1)
Column 2 is A205163(n-1)
Sequence in context: A209054 A209218 A208322 * A375446 A078413 A019083
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 24 2012
STATUS
approved