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

1,1

Comments

Column 2 of A267966.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

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).

Example

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

Crossrefs

Cf. A267966.

Sequence in context: A293889 A218268 A223882 * A213297 A272243 A272242

Adjacent sequences: A267958 A267959 A267960 * A267962 A267963 A267964

Keyword

nonn

Author

R. H. Hardin, Jan 22 2016

Status

approved