A197074 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4

3, 13, 51, 205, 812, 3295, 13286, 53418, 215148, 866828, 3490915, 14058935, 56624663, 228059383, 918511377, 3699344410, 14899280605, 60007424663, 241682293896, 973385377892, 3920348996747, 15789363847963, 63592303009792

Offset

1,1

Comments

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

Column 3 of A197079

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +18*a(n-3) +17*a(n-4) -8*a(n-5) -38*a(n-6) -85*a(n-7) -42*a(n-8) +81*a(n-9) +65*a(n-10) +14*a(n-11) -24*a(n-12) -29*a(n-13) +19*a(n-14) +18*a(n-15) -a(n-16) -3*a(n-17) -8*a(n-18) +2*a(n-19)

Example

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

Crossrefs

Sequence in context: A301458 A371837 A244784 * A014985 A015521 A360874

Adjacent sequences: A197071 A197072 A197073 * A197075 A197076 A197077

Keyword

nonn

Author

R. H. Hardin Oct 09 2011

Status

approved