A207365 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.
13, 169, 624, 2304, 5856, 14884, 31110, 65025, 120105, 221841, 375858, 636804, 1011864, 1607824, 2430756, 3674889, 5338845, 7756225, 10906060, 15335056, 20981928, 28708164, 38379354, 51308569, 67239081, 88115769, 113488830
Offset: 1
Keywords
Examples
Some solutions for n=4 ..1..0..1..0..0....0..0..1..0..0....1..1..1..0..0....0..0..1..0..1 ..1..0..1..0..0....1..1..0..1..0....0..1..0..1..0....0..1..0..0..1 ..0..0..1..0..0....0..0..1..0..0....0..0..1..0..0....0..0..1..0..1 ..0..0..1..0..0....1..1..0..1..0....0..1..0..1..0....0..1..0..0..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 2*a(n-1) +6*a(n-2) -14*a(n-3) -14*a(n-4) +42*a(n-5) +14*a(n-6) -70*a(n-7) +70*a(n-9) -14*a(n-10) -42*a(n-11) +14*a(n-12) +14*a(n-13) -6*a(n-14) -2*a(n-15) +a(n-16)
Comments