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A210167 Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. 1
1, 10, 101, 910, 7545, 59178, 447429, 3300982, 23953969, 171879010, 1223834045, 8668104046, 61170701289, 430597896090, 3025851581877, 21237517730278, 148936511331361, 1043880899831122, 7313575755465773, 51226014364080862 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A210174.

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) - 55*a(n-2) + 22*a(n-3) + 132*a(n-4) + 56*a(n-5).

Empirical g.f.: x*(1 - 4*x + 16*x^2 + 24*x^3 + 8*x^4) / ((1 - 7*x)*(1 - 3*x - 2*x^2)*(1 - 4*x - 4*x^2)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210174.

Sequence in context: A219763 A214390 A293804 * A288790 A280371 A105032

Adjacent sequences:  A210164 A210165 A210166 * A210168 A210169 A210170

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 18 2012

STATUS

approved

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Last modified September 23 09:03 EDT 2020. Contains 337298 sequences. (Running on oeis4.)