A267961 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.
9, 81, 576, 3969, 25281, 155236, 915849, 5253264, 29365561, 160731684, 863478225, 4564353600, 23782266225, 122339052900, 622112365081, 3130733894544, 15606442349001, 77125175024836, 378120197667969, 1840241149473024
Offset: 1
Keywords
Examples
Some solutions for n=6 ..0..1....0..0....1..2....2..0....0..1....1..2....0..1....1..2....2..2....0..0 ..1..0....1..2....0..1....0..1....1..0....0..1....2..0....0..0....0..0....1..0 ..0..1....0..1....0..1....1..1....2..2....1..2....2..1....1..0....0..0....0..2 ..2..1....2..1....1..2....0..0....1..1....0..0....0..2....2..2....1..1....2..1 ..0..2....0..0....0..2....2..1....0..0....2..2....2..0....1..2....0..2....0..2 ..0..0....1..1....2..1....1..0....2..2....0..0....0..2....0..1....2..0....1..1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A267966.
Formula
Empirical: a(n) = 21*a(n-1) -153*a(n-2) +263*a(n-3) +2094*a(n-4) -9792*a(n-5) -2752*a(n-6) +86256*a(n-7) -85536*a(n-8) -338048*a(n-9) +554496*a(n-10) +571392*a(n-11) -1335296*a(n-12) -98304*a(n-13) +1179648*a(n-14) -524288*a(n-15).
Comments