A206878 Number of nX3 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.
7, 49, 230, 1011, 4705, 22412, 105936, 497727, 2339729, 11013295, 51846666, 244013222, 1148355280, 5404522372, 25435928407, 119711433603, 563405871570, 2651594982047, 12479394172896, 58732688555813, 276417903263710
Offset: 1
Keywords
Examples
Some solutions for n=4 ..1..0..1....1..1..1....0..1..1....0..1..1....1..0..0....1..0..0....0..0..1 ..0..0..1....1..1..1....0..0..1....0..0..1....0..0..1....0..0..0....0..0..0 ..0..1..1....0..1..1....0..0..1....1..0..0....0..0..1....0..1..1....1..1..0 ..1..0..0....0..1..1....0..0..1....0..0..0....0..1..1....1..1..0....0..1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 5*a(n-1) -7*a(n-2) +24*a(n-3) +8*a(n-4) +11*a(n-5) +32*a(n-6) -22*a(n-7) -44*a(n-8) +11*a(n-9) +13*a(n-10) -a(n-11) -a(n-12)
Comments