A229934 T(n,k) = Number of n X k 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

0, 3, 3, 3, 19, 3, 9, 115, 115, 9, 15, 739, 1889, 739, 15, 33, 4679, 33119, 33119, 4679, 33, 63, 29569, 575757, 1622763, 575757, 29569, 63, 129, 187211, 10015447, 78416265, 78416265, 10015447, 187211, 129, 255, 1185283, 174306687, 3788842363

Offset

1,2

Comments

Table starts

...0.......3..........3.............9................15...................33

...3......19........115...........739..............4679................29569

...3.....115.......1889.........33119............575757.............10015447

...9.....739......33119.......1622763..........78416265...........3788842363

..15....4679.....575757......78416265.......10521395805........1411363459757

..33...29569...10015447....3788842363.....1411363459757......525542853634783

..63..187211..174306687..183213209145...189537122520529...195955071996200947

.129.1185283.3033162257.8859387292449.25452175156264451.73057913024557581941

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +2*a(n-2);

k=2: [order 13];

k=3: [order 49] for n>50.

Example

Some solutions for n=3, k=4
..0..2..2..0....2..2..0..2....2..0..0..0....2..0..2..1....0..2..1..1
..2..0..0..2....0..0..0..1....2..2..2..0....2..1..1..1....2..1..0..2
..0..1..1..1....2..0..1..1....0..2..2..0....0..2..2..0....1..0..2..0

Crossrefs

Column 1 is A062510(n-1).

Sequence in context: A332860 A106542 A342363 * A239125 A341752 A325892

Adjacent sequences: A229931 A229932 A229933 * A229935 A229936 A229937

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 04 2013

Status

approved