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A233156 Number of 3 X n 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally. 1
27, 96, 432, 1944, 8856, 40392, 184248, 840456, 3833784, 17488008, 79772472, 363886344, 1659886776, 7571661192, 34538532408, 157549339656, 718669633464, 3278249488008, 14953908173112, 68213041889544, 311157393101496 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) - 2*a(n-2) for n>4.
Empirical g.f.: 3*x*(9 - 13*x + 2*x^2 - 8*x^3) / (1 - 5*x + 2*x^2). - Colin Barker, Oct 09 2018
EXAMPLE
Some solutions for n=5:
..1..0..0..0..1....1..0..1..0..1....0..0..0..1..2....0..1..0..0..1
..0..0..0..0..1....0..0..1..0..1....0..1..2..2..2....0..0..1..0..1
..0..0..1..0..1....1..2..1..0..1....0..1..2..2..2....0..0..0..0..1
CROSSREFS
Row 3 of A233155.
Sequence in context: A078183 A072252 A154041 * A118615 A197619 A033659
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 05 2013
STATUS
approved

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Last modified June 13 17:01 EDT 2024. Contains 373391 sequences. (Running on oeis4.)