A220255 Majority value maps: number of n X 2 binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..2 n X 2 array.

2, 10, 35, 132, 497, 1881, 7102, 26812, 101196, 381984, 1441824, 5442322, 20542516, 77539656, 292680498, 1104749538, 4169978558, 15739967580, 59411954244, 224255883112, 846474444862, 3195095604792, 12060182066934, 45522265840738

Offset

1,1

Comments

Column 2 of A220259.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) + 4*a(n-2) - 4*a(n-3) - 3*a(n-6) - 2*a(n-7) + 2*a(n-8) + 2*a(n-9) for n>12.

Empirical g.f.: x*(2 + 4*x - 3*x^2 - 5*x^3 + x^4 + 2*x^5 + 5*x^6 + 4*x^7 - 3*x^8 - 2*x^9 + x^10 + x^11) / (1 - 3*x - 4*x^2 + 4*x^3 + 3*x^6 + 2*x^7 - 2*x^8 - 2*x^9). - Colin Barker, Feb 21 2018

Example

Some solutions for n=3:
..1..0....0..1....0..0....1..1....1..0....0..0....1..1....1..0....0..1....1..0
..1..1....0..0....1..1....0..1....0..0....0..0....1..1....1..0....1..1....1..1
..0..1....0..0....1..1....0..1....0..1....1..1....0..1....0..0....1..1....1..1

Crossrefs

Cf. A220259.

Sequence in context: A197556 A295133 A100230 * A146983 A380557 A327075

Adjacent sequences: A220252 A220253 A220254 * A220256 A220257 A220258

Keyword

nonn

Author

R. H. Hardin, Dec 08 2012

Status

approved