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A200572
Number of n X 1 0..2 arrays with no average of any element and its horizontal and vertical neighbors equal to one.
2
2, 6, 10, 22, 52, 114, 260, 600, 1374, 3162, 7290, 16796, 38722, 89296, 205916, 474882, 1095218, 2525902, 5825564, 13435770, 30987588, 71468368, 164831598, 380160714, 876787090, 2022186212, 4663888698, 10756605360, 24808602932, 57217567106
OFFSET
1,1
COMMENTS
Column 1 of A200579.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + a(n-2) + a(n-3) - 3*a(n-4) - 2*a(n-5).
Empirical g.f.: 2*x*(1 + x)^2*(1 - x - x^2) / (1 - 2*x - x^2 - x^3 + 3*x^4 + 2*x^5). - Colin Barker, Mar 02 2018
EXAMPLE
Some solutions for n=5:
..2....2....0....2....1....0....0....1....0....0....1....0....2....0....2....0
..1....2....0....2....0....0....1....0....0....0....0....0....2....0....2....1
..1....0....2....1....1....1....0....0....0....0....0....2....1....1....1....0
..0....0....2....1....1....1....0....2....0....2....0....2....1....0....2....0
..1....0....1....0....2....0....1....2....1....2....1....2....2....0....2....0
CROSSREFS
Cf. A200579.
Sequence in context: A055895 A125527 A376287 * A342136 A049750 A295139
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 19 2011
STATUS
approved