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A204280 Number of (n+2) X 6 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. 1
1758, 193, 256, 244, 442, 982, 1914, 4922, 13138, 34498, 93778, 255730, 696018, 1900754, 5192146, 14180050, 38739154, 105835858, 289138770, 789939026, 2158150738, 5896157266, 16108595794, 44009496658, 120236140626, 328491234386 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A204284.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) -6*a(n-4) +4*a(n-6) for n>8.
Empirical g.f.: x*(1758 - 5081*x - 323*x^2 - 524*x^3 + 10258*x^4 + 814*x^5 - 6528*x^6 - 128*x^7) / ((1 - x)*(1 - 2*x - 2*x^2)*(1 - 2*x^3)). - Colin Barker, Jun 06 2018
EXAMPLE
Some solutions for n=4:
..0..1..0..0..2..0....0..0..0..0..0..0....0..1..0..1..1..0....0..1..0..2..0..1
..0..1..0..0..2..0....0..0..0..0..0..0....0..1..0..1..1..0....0..1..0..2..0..1
..0..1..0..0..2..0....1..1..1..1..1..1....0..1..0..1..1..0....0..1..0..2..0..1
..0..1..0..0..2..0....2..2..2..2..2..2....0..1..0..1..1..0....0..1..0..2..0..1
..0..1..0..0..2..0....1..1..1..1..1..1....0..1..0..1..1..0....0..1..0..2..0..1
..0..1..0..0..2..0....2..2..2..2..2..2....0..1..0..1..1..0....0..1..0..2..0..1
CROSSREFS
Cf. A204284.
Sequence in context: A282480 A043436 A119406 * A252635 A213459 A186012
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 13 2012
STATUS
approved

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Last modified March 1 19:16 EST 2024. Contains 370443 sequences. (Running on oeis4.)