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A261259
Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.
1
41, 52, 110, 232, 418, 758, 1436, 2724, 5122, 9588, 17988, 33828, 63574, 119382, 224202, 421154, 791148, 1486082, 2791356, 5243210, 9848830, 18499920, 34749860, 65273442, 122608532, 230305832, 432602416, 812592642, 1526359722, 2867087450
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + 2*a(n-3) + a(n-4) + 2*a(n-5) for n>6.
Empirical g.f.: x*(41 + 11*x + 58*x^2 + 40*x^3 + 41*x^4 - 14*x^5) / (1 - x - 2*x^3 - x^4 - 2*x^5). - Colin Barker, Dec 30 2018
EXAMPLE
Some solutions for n=4:
..0..0..1..0....0..0..1..0....0..0..1..0....0..1..0..1....0..1..0..1
..1..0..0..1....0..0..0..1....0..1..0..1....0..0..1..0....1..0..1..0
..0..0..1..0....1..0..1..0....1..0..1..0....0..1..0..0....0..1..0..0
..0..1..0..1....0..1..0..1....0..1..0..1....1..0..1..0....1..0..1..0
..1..0..1..0....0..0..1..0....1..0..0..0....0..1..0..1....0..1..0..1
..0..1..0..1....1..0..0..1....0..1..0..0....1..0..0..0....1..0..0..0
CROSSREFS
Column 2 of A261265.
Sequence in context: A124967 A224443 A349779 * A168348 A052032 A176924
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 13 2015
STATUS
approved