A208406 Number of nX6 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.
187, 658450, 2540446156, 9810325806914, 37884515848419250, 146298576850884166522, 564960990903273888822194, 2181708996196484728947116626, 8425102300382037852914721068050
Offset: 1
Keywords
Examples
Some solutions for n=4 ..0..0..0..0..0..0....0..1..1..0..0..0....0..1..0..0..2..2....0..0..0..0..0..0 ..1..2..1..0..1..3....0..1..1..0..2..1....1..2..1..1..3..2....0..1..1..0..2..1 ..1..3..3..1..1..3....1..2..0..3..2..3....0..3..3..0..1..3....0..1..0..2..2..1 ..0..1..0..0..1..0....3..0..0..2..1..3....2..1..1..2..1..1....0..3..1..0..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = 3934*a(n-1) -280797*a(n-2) +6155504*a(n-3) -54994340*a(n-4) +272040900*a(n-5) -839264272*a(n-6) +1746698176*a(n-7) -2573895744*a(n-8) +2742227712*a(n-9) -2077701120*a(n-10) +970113024*a(n-11) -191102976*a(n-12) for n>13
Comments