A260761 Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010011

82, 115, 265, 481, 798, 1671, 3196, 5596, 11008, 21414, 38685, 73802, 143343, 265124, 499236, 961606, 1804214, 3387690, 6472826, 12229083, 22991554, 43688857, 82748766, 155915780, 295370360, 559665162, 1056451639, 1998590816, 3785473856

Offset

1,1

Comments

Column 2 of A260767

Links

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

Formula

Empirical: a(n) = 6*a(n-3) +6*a(n-4) +2*a(n-5) -6*a(n-6) -18*a(n-7) -18*a(n-8) -8*a(n-9) +2*a(n-10) +21*a(n-11) +23*a(n-12) +10*a(n-13) +11*a(n-14) -5*a(n-15) -8*a(n-16) -a(n-17) -4*a(n-18) +a(n-20) for n>23

Example

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

Crossrefs

Cf. A260767

Sequence in context: A025361 A296809 A223085 * A037159 A223088 A039547

Adjacent sequences: A260758 A260759 A260760 * A260762 A260763 A260764

Keyword

nonn

Author

R. H. Hardin, Jul 30 2015

Status

approved