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A206208 Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order. 1
14, 45, 162, 594, 2268, 8802, 34236, 133974, 525636, 2062530, 8099676, 31820742, 125010756, 491167314, 1929919068, 7583091318, 29796066756, 117078181218, 460036667484, 1807630002342, 7102763113284, 27909047936754, 109663668632412 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A206215.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 4*a(n-1) - a(n-2) + 12*a(n-3) - 36*a(n-4) for n>5.

Empirical g.f.: x*(14 - 11*x - 4*x^2 - 177*x^3 + 18*x^4) / ((1 - 2*x)*(1 - 2*x - 3*x^2 - 18*x^3)). - Colin Barker, Jun 14 2018

EXAMPLE

Some solutions for n=4:

..0..0....0..0....0..1....0..0....0..0....0..1....0..1....0..0....0..1....0..1

..0..1....0..1....1..0....0..1....0..1....0..2....0..2....0..1....2..0....1..2

..1..2....1..0....1..0....1..2....2..0....0..1....1..2....1..2....0..0....1..1

..1..2....1..0....2..1....1..2....2..2....2..1....0..2....1..1....0..1....2..1

..2..0....0..1....1..1....0..1....1..1....0..1....0..1....0..0....2..0....1..2

CROSSREFS

Cf. A206215.

Sequence in context: A232791 A243384 A242579 * A328245 A039368 A043191

Adjacent sequences:  A206205 A206206 A206207 * A206209 A206210 A206211

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 2012

STATUS

approved

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Last modified April 9 10:20 EDT 2020. Contains 333348 sequences. (Running on oeis4.)