A197470 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,1,0,0,0 for x=0,1,2,3,4.

3, 6, 26, 46, 181, 374, 1300, 2886, 9446, 22060, 69096, 167466, 507600, 1265434, 3741192, 9529514, 27644128, 71580304, 204668940, 536641128, 1517618972, 4017418484, 11266355518, 30042504088, 83713614532, 224474050480

Offset: 1

Author

R. H. Hardin Oct 15 2011

Keywords

• nonn

Comments

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

Column 3 of A197475

Examples

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

Links

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

Formula

Empirical: a(n) = 6*a(n-2) +3*a(n-3) +4*a(n-4) -2*a(n-5) +2*a(n-6) -7*a(n-7) -19*a(n-8) -23*a(n-9) -19*a(n-10) -19*a(n-11) -4*a(n-12) -4*a(n-13) for n>16