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A230520
Number of n X 2 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.
1
0, 12, 78, 576, 4374, 32832, 246726, 1854576, 13938966, 104766048, 787429350, 5918371920, 44482884534, 334336382784, 2512894952070, 18887089079088, 141956643933270, 1066955774448672, 8019312045515046, 60273693833927184
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) + 9*a(n-2) + 18*a(n-3).
Empirical g.f.: 6*x^2*(2 + x) / (1 - 6*x - 9*x^2 - 18*x^3). - Colin Barker, Sep 22 2018
EXAMPLE
Some solutions for n=3:
..0..1....0..2....0..0....0..2....0..2....0..1....0..2....0..0....0..1....0..2
..1..2....1..0....2..1....1..2....1..2....0..2....1..2....1..1....2..0....1..0
..1..1....0..2....1..0....1..0....0..2....2..1....2..0....0..2....2..2....2..0
CROSSREFS
Column 2 of A230526.
Sequence in context: A189493 A199492 A200055 * A030116 A200036 A224775
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 22 2013
STATUS
approved