login
A261106
Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101.
1
28, 33, 63, 97, 183, 289, 547, 865, 1639, 2593, 4915, 7777, 14743, 23329, 44227, 69985, 132679, 209953, 398035, 629857, 1194103, 1889569, 3582307, 5668705, 10746919, 17006113, 32240755, 51018337, 96722263, 153055009, 290166787, 459165025
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + 3*a(n-2) - 3*a(n-3) for n>6.
Empirical g.f.: x*(28 + 5*x - 54*x^2 + 19*x^3 - 4*x^4 + 4*x^5) / ((1 - x)*(1 - 3*x^2)). - Colin Barker, Dec 30 2018
EXAMPLE
Some solutions for n=4:
..0..1..0....1..0..0....1..0..0....0..0..0....0..1..0....1..0..0....0..1..0
..0..0..1....0..0..0....0..1..0....1..0..1....0..1..0....0..1..0....1..0..1
..0..1..0....1..0..1....1..0..1....0..1..0....0..1..0....0..0..1....0..1..0
..1..0..1....0..0..0....0..0..0....1..0..1....0..1..0....0..1..0....1..0..0
..0..0..0....1..0..1....1..0..1....0..1..0....0..1..0....1..0..1....0..1..0
..1..0..0....0..1..0....0..0..0....0..0..1....0..1..0....0..1..0....0..0..1
CROSSREFS
Column 1 of A261113.
Sequence in context: A261113 A280649 A134657 * A375819 A138687 A330758
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 08 2015
STATUS
approved