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A185837
Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace.
2
0, 171, 405, 3249, 12609, 72225, 332937, 1731321, 8410473, 42400017, 209335185, 1045669905, 5189897529, 25851542121, 128510546841, 639547289793, 3180802829697, 15825291313473, 78719710355433, 391617249901785
OFFSET
1,2
COMMENTS
Column 1 of A185845.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) - 6*a(n-2) - 15*a(n-3) + 120*a(n-4) - 144*a(n-5) + 144*a(n-6).
Empirical g.f.: 9*x^2*(19 - 69*x + 205*x^2 - 210*x^3 + 180*x^4) / (1 - 6*x + 6*x^2 + 15*x^3 - 120*x^4 + 144*x^5 - 144*x^6). - Colin Barker, Feb 28 2018
EXAMPLE
Some solutions for 3 X 2:
..2..2....2..2....1..2....2..0....0..2....0..2....2..0....0..1....1..0....2..1
..2..0....2..0....1..2....2..2....0..1....1..1....0..0....2..2....1..1....1..0
..0..0....2..0....0..2....2..2....0..1....2..0....1..2....0..0....1..1....0..1
CROSSREFS
Cf. A185845.
Sequence in context: A266315 A116459 A185610 * A016057 A043407 A031691
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 05 2011
STATUS
approved