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A209807
Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having two distinct values, and new values 0..3 introduced in row major order.
1
7, 34, 173, 930, 5193, 29782, 173789, 1025274, 6089457, 36315262, 217102757, 1299807138, 7788836985, 46697385574, 280057392749, 1679892321738, 10077743984769, 60460730002126, 362743958401973, 2176391017766514
OFFSET
1,1
COMMENTS
Column 1 of A209814.
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) - 7*a(n-2) - 28*a(n-3) - 12*a(n-4).
Empirical g.f.: x*(7 - 22*x - 50*x^2 - 20*x^3) / ((1 + x)*(1 - 6*x)*(1 - 3*x - 2*x^2)). - Colin Barker, Jul 13 2018
EXAMPLE
Some solutions for n=4:
..0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..1....0..0....0..0
..0..1....0..1....1..1....0..0....0..1....0..1....1..0....1..0....0..1....0..1
..1..0....0..1....0..1....0..1....0..0....0..0....0..1....0..1....0..1....1..1
..0..0....0..0....1..0....1..0....0..1....1..0....1..0....1..0....1..0....0..1
..2..2....0..1....0..0....0..0....1..1....1..0....0..1....0..0....0..1....0..0
CROSSREFS
Cf. A209814.
Sequence in context: A055271 A209890 A027209 * A351588 A080048 A177140
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 13 2012
STATUS
approved