A268014 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.
9, 81, 729, 6084, 49284, 386884, 2965284, 22268961, 164378041, 1195430625, 8581613769, 60904316944, 427872974400, 2978730810000, 20567785069584, 140966727989481, 959632952511249, 6492348190361881, 43674091151207841
Offset: 1
Keywords
Examples
Some solutions for n=5 ..1..1....0..2....2..1....1..1....1..1....1..0....0..2....1..0....1..0....2..1 ..2..2....0..2....2..2....0..1....2..2....0..0....2..2....0..0....2..0....0..0 ..0..1....1..0....2..0....1..1....1..1....2..2....0..1....1..0....0..1....0..2 ..1..0....2..1....1..0....1..1....0..1....0..2....1..2....1..2....2..2....0..1 ..0..2....2..0....2..0....2..0....1..0....1..2....0..0....0..0....2..0....0..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A268019.
Formula
Empirical: a(n) = 25*a(n-1) -225*a(n-2) +745*a(n-3) +475*a(n-4) -6275*a(n-5) -885*a(n-6) +22525*a(n-7) +22525*a(n-8) -885*a(n-9) -6275*a(n-10) +475*a(n-11) +745*a(n-12) -225*a(n-13) +25*a(n-14) -a(n-15).
Comments