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URL: https://oeis.org/A218059

⇱ A218059 - OEIS

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A218059
Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X 3 array.
2
4, 18, 74, 308, 1282, 5338, 22228, 92562, 385450, 1605108, 6684066, 27834106, 115908116, 482670130, 2009958090, 8369963828, 34854604610, 145143215386, 604412335444, 2516922821842, 10481090672106, 43645860224116
OFFSET
1,1
COMMENTS
Column 3 of A218064.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) - 3*a(n-2) - 2*a(n-3).
Empirical g.f.: 2*x*(2 - x - 2*x^2) / (1 - 5*x + 3*x^2 + 2*x^3). - Colin Barker, Mar 09 2018
EXAMPLE
Some solutions for n=3:
..0..0..1....1..1..0....1..0..0....0..0..1....0..0..0....1..0..1....0..0..1
..1..0..0....0..0..0....1..0..1....1..0..0....1..0..1....0..0..1....1..0..1
..0..0..1....0..0..0....1..1..1....1..0..1....1..1..1....1..0..0....0..0..0
CROSSREFS
Cf. A218064.
Sequence in context: A047034 A266753 A307323 * A069008 A026560 A180140
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 19 2012
STATUS
approved