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A206614 Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than two equal edges, and new values 0..2 introduced in row major order. 1
14, 86, 580, 4035, 27895, 192358, 1327931, 9168477, 63292982, 436934969, 3016371943, 20823400074, 143753294443, 992394181981, 6850947582710, 47295197965905, 326500200032495, 2253978967732298, 15560239102262371 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A206621.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) - 5*a(n-2) + 36*a(n-3) - 42*a(n-4) for n>5.

Empirical g.f.: x*(14 - 12*x + 48*x^2 - 99*x^3 + 42*x^4) / (1 - 7*x + 5*x^2 - 36*x^3 + 42*x^4). - Colin Barker, Jun 17 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206621.

Sequence in context: A213121 A125324 A126482 * A345107 A321941 A116343

Adjacent sequences:  A206611 A206612 A206613 * A206615 A206616 A206617

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 10 2012

STATUS

approved

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Last modified September 27 07:30 EDT 2022. Contains 357052 sequences. (Running on oeis4.)