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A259994 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101. 1
48, 99, 284, 641, 1228, 2943, 7284, 15683, 34012, 81017, 186614, 409327, 928000, 2153685, 4861084, 10890015, 24884066, 56836211, 128191444, 290174291, 661545278, 1501862093, 3397770104, 7714956093, 17539682412, 39769793417 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + 5*a(n-3) + 7*a(n-4) - 7*a(n-5) - 5*a(n-7).
Empirical g.f.: x*(48 + 51*x + 185*x^2 + 117*x^3 - 244*x^4 - 62*x^5 - 159*x^6) / ((1 - x)*(1 - 5*x^3 - 12*x^4 - 5*x^5 - 5*x^6)). - Colin Barker, Dec 27 2018
EXAMPLE
Some solutions for n=4:
..0..0..0....1..0..0....0..1..0....0..1..0....0..0..0....0..1..0....0..0..0
..1..1..0....0..0..0....0..1..1....0..1..0....0..0..0....0..1..0....0..0..1
..0..1..0....0..0..0....0..0..0....0..0..0....0..1..1....0..0..0....0..0..0
..0..0..0....0..1..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
..0..0..0....0..1..0....1..1..0....1..1..0....0..0..0....1..1..0....1..1..0
..1..0..0....0..0..0....1..0..0....0..1..0....0..1..1....0..0..0....0..1..0
CROSSREFS
Column 1 of A260001.
Sequence in context: A260248 A260001 A260241 * A113797 A260294 A260287
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 12 2015
STATUS
approved

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Last modified May 27 20:38 EDT 2024. Contains 372882 sequences. (Running on oeis4.)