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A267961
Number of n X 2 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.
4
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 22 2016
STATUS
approved