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A210302 Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. 1
0, 29, 414, 4553, 45890, 446093, 4266246, 40490097, 382887722, 3614390197, 34090440494, 321405533785, 3029622853138, 28555016231773, 269126357016278, 2536415298825665, 23904507782220922, 225287438517410949 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A210309.

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-1) - 57*a(n-2) + 41*a(n-3) + 10*a(n-4) - 8*a(n-5).

Empirical g.f.: x^2*(29 - 21*x - 4*x^2 + 4*x^3) / ((1 - x)*(1 - 5*x + 2*x^2)*(1 - 9*x - 4*x^2)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210309.

Sequence in context: A042630 A174885 A264160 * A163021 A125464 A161572

Adjacent sequences:  A210299 A210300 A210301 * A210303 A210304 A210305

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 19 2012

STATUS

approved

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Last modified January 21 03:58 EST 2022. Contains 350473 sequences. (Running on oeis4.)