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A210079 Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order. 1
1, 51, 762, 9405, 109194, 1239185, 13937206, 156188077, 1747769906, 19546177481, 218541500622, 2443222239685, 27313318510154, 305336555697185, 3413345205975206, 38157545443338717, 426560032707189986 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A210086.

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) - 71*a(n-2) + 67*a(n-3) - 8*a(n-4) - 4*a(n-5).

Empirical g.f.: x*(1 + 34*x - 34*x^2 + 5*x^3 + 2*x^4) / ((1 - x)*(1 - 5*x + 2*x^2)*(1 - 11*x - 2*x^2)). - Colin Barker, Jul 14 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210086.

Sequence in context: A210176 A224474 A201140 * A201832 A317651 A201212

Adjacent sequences:  A210076 A210077 A210078 * A210080 A210081 A210082

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 17 2012

STATUS

approved

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Last modified December 15 22:02 EST 2019. Contains 330012 sequences. (Running on oeis4.)