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A223382 Number of n X 3 0..2 arrays with all horizontally or vertically connected equal values in a straight line, and new values 0..2 introduced in row major order. 1
5, 57, 777, 10830, 151962, 2136444, 30053580, 422837280, 5949375984, 83709684792, 1177827765240, 16572513858312, 233182066036872, 3280967627051112, 46164566052169512, 649554466698560040, 9139499021741796072 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A223387.

LINKS

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

FORMULA

Empirical: a(n) = 19*a(n-1) - 72*a(n-2) + 34*a(n-3) + 44*a(n-4) for n>5.

Empirical g.f.: x*(1 - x)*(5 - 33*x + 21*x^2 + 22*x^3) / (1 - 19*x + 72*x^2 - 34*x^3 - 44*x^4). - Colin Barker, Aug 20 2018

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Cf. A223387.

Sequence in context: A155642 A322248 A277831 * A155539 A285067 A234293

Adjacent sequences:  A223379 A223380 A223381 * A223383 A223384 A223385

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 19 2013

STATUS

approved

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Last modified September 18 10:13 EDT 2019. Contains 327170 sequences. (Running on oeis4.)