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A206754 Number of (n+1) X 2 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order. 1
14, 106, 861, 7010, 56970, 463064, 3764188, 30597928, 248720792, 2021775088, 16434387520, 133590069408, 1085912510000, 8827048192048, 71752354780224, 583252782273232, 4741082144156272, 38538795836723584, 313269996043880464 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A206761.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) + 5*a(n-2) + 34*a(n-3) - 2*a(n-4) + 12*a(n-5) for n>6.

Empirical g.f.: x*(14 + 8*x + 49*x^2 - 23*x^3 + 19*x^4 - 6*x^5) / (1 - 7*x - 5*x^2 - 34*x^3 + 2*x^4 - 12*x^5). - Colin Barker, Jun 17 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206761.

Sequence in context: A125351 A126509 A200056 * A099300 A038735 A181378

Adjacent sequences: A206751 A206752 A206753 * A206755 A206756 A206757

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 12 2012

STATUS

approved

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Last modified February 1 02:31 EST 2023. Contains 359981 sequences. (Running on oeis4.)