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A219100
Unmatched value maps: number of n X 2 binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X 2 array.
2
2, 11, 42, 154, 582, 2199, 8287, 31240, 117789, 444096, 1674344, 6312696, 23800449, 89733625, 338318146, 1275543835, 4809118522, 18131576722, 68360568206, 257736398631, 971730529991, 3663666552088, 13812937013629, 52078218972608
OFFSET
1,1
COMMENTS
Column 2 of A219106.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) - 2*a(n-2) + 5*a(n-3) - 3*a(n-4) + a(n-5).
Empirical g.f.: x*(2 + 3*x + 2*x^2 - 2*x^3 + x^4) / (1 - 4*x + 2*x^2 - 5*x^3 + 3*x^4 - x^5). - Colin Barker, Mar 10 2018
EXAMPLE
Some solutions for n=3:
..1..1....0..1....0..1....1..0....1..0....0..1....1..1....1..1....0..1....0..0
..0..0....0..1....0..0....0..0....0..1....0..0....1..0....0..0....0..0....1..0
..0..1....0..1....0..1....1..1....0..1....1..0....0..1....1..1....1..1....1..1
CROSSREFS
Cf. A219106.
Sequence in context: A160945 A079808 A089658 * A140322 A027247 A379617
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 11 2012
STATUS
approved