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A210176 Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having three or four distinct values, and new values 0..3 introduced in row major order. 1
1, 51, 744, 9042, 103752, 1165620, 12988416, 144259560, 1600182816, 17740623696, 196642606464, 2179465613472, 24155044021632, 267707038144320, 2966944305186816, 32881987112668800, 364423467992173056 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A210183.

LINKS

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

FORMULA

Empirical: a(n) = 14*a(n-1) - 26*a(n-2) - 68*a(n-3) - 24*a(n-4).

Empirical g.f.: x*(1 + x)*(1 + 36*x + 20*x^2) / ((1 - 4*x - 2*x^2)*(1 - 10*x - 12*x^2)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210183.

Sequence in context: A160835 A231750 A232020 * A224474 A201140 A210079

Adjacent sequences:  A210173 A210174 A210175 * A210177 A210178 A210179

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 18 2012

STATUS

approved

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Last modified July 30 23:12 EDT 2021. Contains 346365 sequences. (Running on oeis4.)