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A210397 Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. 1
7, 59, 549, 5167, 48689, 458859, 4324477, 40755719, 384099369, 3619917187, 34115652149, 321520538079, 3030147451297, 28557409213979, 269137272730989, 2536465091434807, 23904734913837209, 225288474590274099 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A210404.

LINKS

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

FORMULA

Empirical: a(n) = 10*a(n-1) - 5*a(n-2) - 4*a(n-3).

Empirical g.f.: x*(1 - 2*x)*(7 + 3*x) / ((1 - x)*(1 - 9*x - 4*x^2)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

..0..0....0..0....0..0....0..1....0..1....1..0....0..0....0..0....3..3....1..2

..1..2....0..0....1..2....1..3....1..2....0..3....1..2....0..0....3..3....2..0

..1..0....1..2....2..0....3..0....2..3....0..1....3..3....0..0....1..2....2..3

CROSSREFS

Cf. A210404.

Sequence in context: A015568 A322667 A101487 * A099659 A135150 A077409

Adjacent sequences:  A210394 A210395 A210396 * A210398 A210399 A210400

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 21 2012

STATUS

approved

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Last modified May 31 01:29 EDT 2020. Contains 334747 sequences. (Running on oeis4.)