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A206629 Number of (n+1) X 3 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order. 1
121, 3232, 86392, 2309200, 61723264, 1649819344, 44098506880, 1178721971776, 31506406571584, 842144015978368, 22509915310006528, 601674152698239232, 16082325545854547968, 429869213764553543680, 11490100757858808902656 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A206635.

LINKS

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

FORMULA

Empirical: a(n) = 24*a(n-1) + 68*a(n-2) + 132*a(n-3) + 8*a(n-4) + 48*a(n-5).

Empirical g.f.: x*(121 + 328*x + 596*x^2 + 44*x^3 + 216*x^4) / (1 - 24*x - 68*x^2 - 132*x^3 - 8*x^4 - 48*x^5). - Colin Barker, Jun 17 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206635.

Sequence in context: A232021 A231751 A264495 * A014758 A069600 A244065

Adjacent sequences:  A206626 A206627 A206628 * A206630 A206631 A206632

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 10 2012

STATUS

approved

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Last modified January 26 08:05 EST 2021. Contains 340435 sequences. (Running on oeis4.)