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, 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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A219097 A219098 A219099 * A219101 A219102 A219103

Keyword

nonn

Author

R. H. Hardin, Nov 11 2012

Status

approved