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A259291 Number of (n+1) X (2+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0001 0101 or 0111. 1
26, 94, 322, 1134, 3938, 13774, 48002, 167598, 584610, 2040206, 7118274, 24838766, 86667746, 302412110, 1055197186, 3681898030, 12847185954, 44827572494, 156416277058, 545781633518, 1904389428834, 6644964604110, 23186198459522 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) + 4*a(n-2) - 8*a(n-3).
Empirical g.f.: 2*x*(13 + 8*x - 32*x^2) / (1 - 3*x - 4*x^2 + 8*x^3). - Colin Barker, Dec 25 2018
EXAMPLE
Some solutions for n=4:
..0..0..1....0..1..0....0..1..0....1..0..1....1..0..0....1..0..1....0..1..1
..0..1..0....1..1..1....1..0..1....1..1..1....0..0..1....0..1..0....1..0..1
..1..0..0....1..0..1....0..1..0....0..1..0....0..1..0....1..0..1....1..1..1
..0..0..1....0..1..1....0..0..1....1..1..1....1..0..1....0..0..0....0..1..0
..0..1..1....0..0..1....1..0..0....1..0..1....0..1..0....0..1..0....1..0..1
CROSSREFS
Column 2 of A259297.
Sequence in context: A044594 A205998 A205991 * A038654 A010014 A095796
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jun 23 2015
STATUS
approved

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Last modified April 19 14:50 EDT 2024. Contains 371792 sequences. (Running on oeis4.)