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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A232023.
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.
Comments