A232024 Number of 2 X n 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.

9, 22, 66, 212, 716, 2447, 8312, 28118, 95066, 321480, 1087248, 3677451, 12439185, 42076051, 142321098, 481394558, 1628298753, 5507667897, 18629517012, 63013782841, 213142264885, 720947466146, 2438583756862, 8248438798128

Offset

1,1

Comments

Row 2 of A232023.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -36*a(n-2) +97*a(n-3) -202*a(n-4) +329*a(n-5) -437*a(n-6) +459*a(n-7) -407*a(n-8) +291*a(n-9) -161*a(n-10) +74*a(n-11) -4*a(n-12) +4*a(n-13) +15*a(n-14) +2*a(n-15) +3*a(n-16) +a(n-17) for n>18.

Example

Some solutions for n=7
..0..0..0..0..0..0..0....1..1..0..0..1..1..2....2..1..1..1..0..0..0
..1..1..2..2..1..0..0....1..0..0..1..1..1..1....1..1..1..0..0..1..2

Crossrefs

Cf. A232023.

Sequence in context: A251285 A197498 A287497 * A327150 A264651 A113519

Adjacent sequences: A232021 A232022 A232023 * A232025 A232026 A232027

Keyword

nonn

Author

R. H. Hardin, Nov 17 2013

Status

approved