A207341 Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically

6, 36, 84, 292, 912, 2812, 8928, 28152, 87972, 277292, 872524, 2738692, 8615772, 27093728, 85142632, 267722916, 841747760, 2646047052, 8319199464, 26155059448, 82225749476, 258510349884, 812729058372, 2555098454212, 8032934120092

Offset

1,1

Comments

Column 3 of A207346

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +16*a(n-3) +13*a(n-4) -10*a(n-5) -17*a(n-6) -8*a(n-7) +2*a(n-8) -2*a(n-9) -a(n-10) for n>13

Example

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

Crossrefs

Sequence in context: A207769 A207896 A207656 * A152746 A207363 A207600

Adjacent sequences: A207338 A207339 A207340 * A207342 A207343 A207344

Keyword

nonn

Author

R. H. Hardin Feb 17 2012

Status

approved