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A230464
Number of n X 3 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.
1
0, 0, 114, 1384, 16926, 212124, 2647098, 33046400, 412565142, 5150701380, 64304187186, 802809801448, 10022730288270, 125129422257516, 1562186333636778, 19503215967524816, 243489156724526214
OFFSET
1,3
COMMENTS
Column 3 of A230469.
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) +12*a(n-2) -66*a(n-3) -91*a(n-4) -186*a(n-5) +360*a(n-6) +216*a(n-7).
Empirical g.f.: 2*x^3*(57 + 8*x - 525*x^2 - 36*x^3 + 108*x^4) / (1 - 12*x - 12*x^2 + 66*x^3 + 91*x^4 + 186*x^5 - 360*x^6 - 216*x^7). - Colin Barker, Feb 09 2018
EXAMPLE
Some solutions for n=3:
..0..2..0....0..2..0....0..0..0....0..2..0....0..1..2....0..1..1....0..1..1
..1..1..2....2..1..1....1..1..2....2..1..1....0..0..0....2..2..1....1..2..2
..0..0..0....0..0..2....0..2..1....0..0..0....1..2..2....1..0..2....1..0..1
CROSSREFS
Sequence in context: A262416 A108344 A200551 * A200891 A240386 A220332
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 20 2013
STATUS
approved