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A210005 Number of (n+1) X 2 0..2 arrays containing all values 0..2 with every 2 X 2 subblock having two or three distinct values, and new values 0..2 introduced in row major order. 1
6, 88, 893, 8217, 73035, 640495, 5586791, 48624987, 422832951, 3675525835, 31945165919, 277628591571, 2412749978775, 20967950350123, 182220740086511, 1583575892972451, 13761939669663303, 119597001511594267 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A210012.

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) - 16*a(n-2) - 34*a(n-3) - 12*a(n-4).

Empirical g.f.: x*(3 + 2*x)*(2 + 6*x + 3*x^2) / ((1 - 3*x - 2*x^2)*(1 - 8*x - 6*x^2)). - Colin Barker, Jul 14 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210012.

Sequence in context: A173224 A210012 A226426 * A178296 A122770 A265267

Adjacent sequences:  A210002 A210003 A210004 * A210006 A210007 A210008

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 16 2012

STATUS

approved

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Last modified May 22 16:57 EDT 2022. Contains 353957 sequences. (Running on oeis4.)