A241109 Number of nX3 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order

5, 113, 2612, 60340, 1394492, 32228144, 744822776, 17213554688, 397821442776, 9194027810904, 212482632363880, 4910673535536216, 113490285320567816, 2622867264324958968, 60616930046792933096, 1400914281204947257016

Offset

1,1

Comments

Column 3 of A241114

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 21*a(n-1) +48*a(n-2) +18*a(n-3) +16*a(n-4) -256*a(n-5) -636*a(n-6) -104*a(n-7) +560*a(n-8) +416*a(n-9) +64*a(n-10) -96*a(n-11) -64*a(n-12) for n>13

Example

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

Crossrefs

Sequence in context: A086805 A163014 A199650 * A208317 A279836 A279838

Adjacent sequences: A241106 A241107 A241108 * A241110 A241111 A241112

Keyword

nonn

Author

R. H. Hardin, Apr 16 2014

Status

approved