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A210260 Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having three distinct values, and new values 0..3 introduced in row major order. 1
0, 29, 400, 4298, 42520, 406580, 3828928, 35804264, 333688864, 3104980304, 28869996928, 268334928032, 2493631919488, 23171354998592, 215304570112000, 2000537970249344, 18588159494998528, 172712625468359936 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 of A210267.

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) - 18*a(n-2) - 64*a(n-3) - 24*a(n-4).

Empirical g.f.: x^2*(29 + 52*x + 20*x^2) / ((1 - 4*x - 2*x^2)*(1 - 8*x - 12*x^2)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210267.

Sequence in context: A160298 A077508 A077514 * A010945 A022624 A042630

Adjacent sequences: A210257 A210258 A210259 * A210261 A210262 A210263

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 19 2012

STATUS

approved

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Last modified February 7 02:40 EST 2023. Contains 360111 sequences. (Running on oeis4.)