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A205627
Number of 3 X (n+1) 0..2 arrays with every 2 X 2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order.
1
72, 306, 1512, 8004, 43248, 235464, 1284960, 7018128, 38341824, 209492256, 1144664448, 6254518848, 34175238912, 186736804992, 1020348532224, 5575287376128, 30463935384576, 166458035802624, 909543616813056
OFFSET
1,1
COMMENTS
Row 2 of A205626.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) +2*a(n-2) -28*a(n-3) +32*a(n-5).
Empirical g.f.: 6*x*(12 - 21*x - 78*x^2 + 56*x^3 + 128*x^4) / ((1 - 2*x)*(1 - 2*x^2)*(1 - 4*x - 8*x^2)). - Colin Barker, Jun 12 2018
EXAMPLE
Some solutions for n=4:
..0..0..0..0..0....0..1..2..2..1....0..1..2..1..2....0..1..0..0..0
..0..1..0..1..0....0..0..1..2..2....0..1..2..1..2....2..1..2..2..1
..1..0..1..0..1....1..2..1..0..0....0..0..1..0..1....0..2..2..0..2
CROSSREFS
Cf. A205626.
Sequence in context: A242534 A277430 A277991 * A234217 A234210 A157909
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 29 2012
STATUS
approved