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A267729
Number of n X 2 0..1 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.
2
4, 16, 64, 225, 784, 2601, 8464, 26896, 84100, 259081, 788544, 2374681, 7086244, 20976400, 61653904, 180069561, 522945424, 1510954641, 4345446400, 12444741136, 35502850084, 100926300721, 285976813824, 807886380625, 2275928269924
OFFSET
1,1
COMMENTS
Column 2 of A267735.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) - 6*a(n-2) - 19*a(n-3) + 24*a(n-4) + 24*a(n-5) - 19*a(n-6) - 6*a(n-7) + 6*a(n-8) - a(n-9).
Empirical g.f.: x*(4 - 8*x - 8*x^2 + 13*x^3 + 26*x^4 - 17*x^5 - 7*x^6 + 6*x^7 - x^8) / ((1 + x)^3*(1 - 3*x + x^2)^3). - Colin Barker, Mar 21 2018
EXAMPLE
Some solutions for n=4:
..0..0....0..1....0..1....1..0....1..1....0..0....1..1....0..0....1..1....0..1
..1..0....0..0....0..1....0..0....1..1....1..0....0..0....0..0....1..1....1..0
..0..0....1..0....0..1....1..1....0..1....0..1....1..1....0..0....0..0....1..1
..0..1....1..0....1..1....0..0....1..0....0..1....1..0....1..0....1..1....1..0
CROSSREFS
Cf. A267735.
Sequence in context: A177398 A343200 A227312 * A189154 A189336 A262334
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 20 2016
STATUS
approved