A221324 Number of n X 4 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with no occupancy greater than 2.
17, 866, 46105, 2460824, 131347807, 7010554450, 374176705928, 19970973695923, 1065911268786396, 56890876705125765, 3036435876484206258, 162063633563069131638, 8649818983278197229631, 461666606875092805859284
Offset: 1
Keywords
Examples
Some solutions for n=3: ..1..1..2..1....0..1..0..1....0..2..1..2....0..2..2..2....2..1..1..0 ..0..0..1..2....1..2..2..2....0..0..2..0....1..0..1..2....2..0..1..1 ..1..0..2..1....2..0..0..1....2..0..1..2....1..0..1..0....1..2..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..118
Formula
Empirical: a(n) = 91*a(n-1) -2497*a(n-2) +29072*a(n-3) -168762*a(n-4) +513070*a(n-5) -765950*a(n-6) +359339*a(n-7) +283374*a(n-8) -252113*a(n-9) -12688*a(n-10) +38079*a(n-11) -6354*a(n-12) +289*a(n-13).
Comments