A196282 Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4.

4, 8, 7, 50, 111, 259, 728, 1800, 4696, 12185, 32136, 83679, 217955, 570882, 1489582, 3896818, 10200627, 26688308, 69841985, 182768771, 478336792, 1251948660, 3276977630, 8577766977, 22452853682, 58772743019, 153844929073, 402711226676

Offset

1,1

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 3's, every 3 is next to 3 1's, every 4 is next to 4 4's.

Column 3 of A196287.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 3*a(n-1) -a(n-3) -5*a(n-4) +6*a(n-5) +2*a(n-6) -14*a(n-7) -63*a(n-8) -7*a(n-9) +88*a(n-10) +28*a(n-11) +122*a(n-12) -20*a(n-13) -48*a(n-14).

Example

Some solutions for n=4
..1..1..0....0..0..1....0..0..1....0..0..0....1..0..0....1..1..1....1..0..0
..0..1..1....1..1..1....1..3..1....1..3..1....1..0..0....0..0..0....1..1..1
..0..1..1....1..3..0....1..1..0....1..1..3....1..0..0....0..0..0....0..1..1
..1..1..0....0..1..1....0..1..1....0..0..1....1..0..0....0..0..0....1..1..0

Crossrefs

Cf. A196287.

Sequence in context: A196205 A196141 A082210 * A196332 A245654 A135863

Adjacent sequences: A196279 A196280 A196281 * A196283 A196284 A196285

Keyword

nonn

Author

R. H. Hardin, Sep 30 2011

Status

approved