A197275 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4

4, 14, 34, 92, 317, 888, 2626, 8078, 24103, 72107, 217970, 656610, 1975147, 5955136, 17950843, 54086244, 163025795, 491430743, 1481229421, 4464844849, 13458804609, 40569450638, 122290929298, 368632726282, 1111201586358, 3349591968789

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 1's, every 3 is next to 3 1's, every 4 is next to 4 1's

Column 3 of A197280

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +a(n-2) -6*a(n-4) -11*a(n-5) +19*a(n-6) -13*a(n-7) -64*a(n-8) +21*a(n-9) +36*a(n-10) -8*a(n-11) -93*a(n-12) +28*a(n-13) -52*a(n-14) -11*a(n-15) +27*a(n-16) -16*a(n-17) -a(n-18) +3*a(n-19)

Example

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

Crossrefs

Sequence in context: A063258 A178964 A362342 * A011852 A307260 A288678

Adjacent sequences: A197272 A197273 A197274 * A197276 A197277 A197278

Keyword

nonn

Author

R. H. Hardin Oct 12 2011

Status

approved