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A259945
Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101.
1
34, 60, 156, 365, 801, 1825, 4272, 9840, 22444, 51509, 118673, 272721, 625828, 1437556, 3303988, 7590621, 17435081, 40053457, 92021928, 211404824, 485651892, 1115697125, 2563141785, 5888362641, 13527406476, 31076799084, 71393512556
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + a(n-2) + 2*a(n-3) + 6*a(n-4) - a(n-6) + a(n-7) - a(n-8) for n>9.
Empirical g.f.: x*(34 + 26*x + 62*x^2 + 81*x^3 - 44*x^4 - 13*x^5 + 14*x^6 - 23*x^7 + 6*x^8) / ((1 + x)*(1 - 2*x + x^2 - 3*x^3 - 3*x^4 + 3*x^5 - 2*x^6 + x^7)). - Colin Barker, Dec 27 2018
EXAMPLE
Some solutions for n=4:
..1..0..0....1..0..0....0..0..1....0..0..0....0..1..0....0..0..1....1..0..0
..0..1..0....0..0..0....0..0..0....0..0..0....0..1..0....0..0..0....0..1..0
..0..0..0....1..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..0..0....0..0..0....0..1..0....0..0..0
..0..1..0....0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....1..0..0
..0..1..0....1..0..1....0..0..0....1..0..0....1..0..1....0..0..0....0..1..0
CROSSREFS
Column 1 of A259952.
Sequence in context: A261314 A119454 A259952 * A303239 A280931 A115159
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 10 2015
STATUS
approved