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A260241
Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.
1
48, 99, 256, 635, 1598, 4027, 10110, 25421, 63884, 160475, 403392, 1013853, 2547460, 6402009, 16089526, 40433015, 101609368, 255352867, 641716970, 1612668111, 4052732014, 10184756245, 25594885072, 64321450263, 161643568800
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) - 2*a(n-2) + 9*a(n-3) - 4*a(n-4) + 9*a(n-5) - 9*a(n-6) for n>7.
Empirical g.f.: x*(48 + 3*x + 154*x^2 - 111*x^3 + 141*x^4 - 239*x^5 + 102*x^6) / (1 - 2*x + 2*x^2 - 9*x^3 + 4*x^4 - 9*x^5 + 9*x^6). - Colin Barker, Dec 28 2018
EXAMPLE
Some solutions for n=4:
..0..0..0....1..0..0....0..0..0....0..1..0....0..0..0....0..1..0....0..0..0
..1..0..0....0..0..1....1..0..0....0..1..0....0..0..0....0..1..0....0..0..1
..0..1..0....0..0..0....0..1..0....0..0..1....0..1..0....0..0..0....0..1..0
..0..0..0....0..1..0....1..0..0....0..0..0....0..0..1....1..0..0....0..1..0
..0..0..0....0..1..0....0..0..0....0..0..0....0..0..0....0..1..0....0..0..0
..0..1..0....1..0..0....0..1..0....0..1..0....0..0..0....0..1..0....0..0..1
CROSSREFS
Column 1 of A260248.
Sequence in context: A070258 A260248 A260001 * A259994 A113797 A260294
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 20 2015
STATUS
approved