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A210398 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having one or three distinct values, and new values 0..3 introduced in row major order. 1
59, 1316, 29647, 668468, 15072359, 339846892, 7662761615, 172777559876, 3895734547831, 87839807902364, 1980584600286431, 44657604024550516, 1006925731385059271, 22703847433641032396, 511919272915004314159 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A210404.

LINKS

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

FORMULA

Empirical: a(n) = 28*a(n-1) - 123*a(n-2) - 20*a(n-3) + 500*a(n-4) - 384*a(n-5).

Empirical g.f.: x*(59 - 336*x + 56*x^2 + 1400*x^3 - 1344*x^4) / ((1 - x)*(1 + 2*x)*(1 - 29*x + 154*x^2 - 192*x^3)). - Colin Barker, Jul 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A210404.

Sequence in context: A248974 A245941 A248620 * A278366 A134652 A017775

Adjacent sequences:  A210395 A210396 A210397 * A210399 A210400 A210401

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 21 2012

STATUS

approved

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Last modified October 5 21:37 EDT 2022. Contains 357261 sequences. (Running on oeis4.)