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A210407 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having three or four distinct values, and new values 0..3 introduced in row major order. 1
78, 2520, 80496, 2574592, 82334080, 2633043200, 84204544256, 2692856218368, 86117376515328, 2754028420465408, 88073659990146304, 2816590245285823232, 90074383313881529600, 2880573254472884060928, 92120556023893690612992 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A210413.

LINKS

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

FORMULA

Empirical: a(n) = 31*a(n-1) + 40*a(n-2) - 280*a(n-3) + 96*a(n-4).

Empirical g.f.: 2*x*(39 + 51*x - 372*x^2 + 128*x^3) / (1 - 31*x - 40*x^2 + 280*x^3 - 96*x^4). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210413.

Sequence in context: A262063 A140934 A133239 * A146479 A017794 A035734

Adjacent sequences: A210404 A210405 A210406 * A210408 A210409 A210410

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 21 2012

STATUS

approved

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Last modified February 1 05:08 EST 2023. Contains 359981 sequences. (Running on oeis4.)