A197175 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,2,1,0,0 for x=0,1,2,3,4

2, 10, 41, 150, 665, 2695, 11424, 47528, 199485, 834267, 3494391, 14627589, 61246810, 256420026, 1073586408, 4494857066, 18819026026, 78791164317, 329881701180, 1381143529911, 5782550639425, 24210293846101, 101363286240212

Offset

1,1

Comments

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

Column 3 of A197180

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +6*a(n-2) -2*a(n-3) -5*a(n-4) -20*a(n-5) -4*a(n-6) +24*a(n-7) -4*a(n-8) -16*a(n-9) -3*a(n-10) +47*a(n-11) -24*a(n-12) -5*a(n-13) +3*a(n-14)

Example

All solutions containing all values 0 to 4 for n=4
..2..1..0....0..0..0....0..1..2....0..0..0
..1..0..3....0..4..0....3..0..1....0..4..0
..0..4..0....1..0..3....0..4..0....3..0..1
..0..0..0....2..1..0....0..0..0....0..1..2

Crossrefs

Sequence in context: A272135 A125130 A110684 * A297047 A037561 A135512

Adjacent sequences: A197172 A197173 A197174 * A197176 A197177 A197178

Keyword

nonn

Author

R. H. Hardin Oct 11 2011

Status

approved