A207903 Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.
6, 36, 102, 261, 611, 1278, 2625, 5134, 9798, 18414, 33947, 62049, 112332, 201925, 361298, 643452, 1142526, 2023513, 3576387, 6311690, 11124765, 19589642, 34469830, 60616350, 106548039, 187215857, 328865096, 577561897, 1014154398
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..1....0..1..1....1..0..0....0..1..1....0..0..1....0..1..1....1..0..0 ..1..0..0....1..1..0....0..1..1....1..0..0....1..0..1....1..0..1....0..0..1 ..0..1..1....0..0..1....1..0..0....0..0..1....0..1..1....0..1..1....1..1..0 ..1..0..0....1..0..0....0..0..1....1..1..0....0..0..1....1..0..1....0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 3*a(n-1) -4*a(n-3) -5*a(n-4) +9*a(n-5) +3*a(n-6) -2*a(n-7) -5*a(n-8) +2*a(n-9) -2*a(n-10) +a(n-11) +a(n-12) +a(n-13) -a(n-14)
Comments