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A206514 Number of (n+1) X 2 0..3 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order. 1
15, 186, 2786, 43804, 697369, 11136544, 177977851, 2844864002, 45475406828, 726936444140, 11620303055791, 185754246374086, 2969341279822087, 47465875753570892, 758757303430379258, 12128979771310068836 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A206521.

LINKS

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

FORMULA

Empirical: a(n) = 18*a(n-1) - 27*a(n-2) - 76*a(n-3) - 111*a(n-4) - 66*a(n-5) - 24*a(n-6) for n>7.

Empirical g.f.: x*(15 - 84*x - 157*x^2 - 182*x^3 - 80*x^4 - 18*x^5 + 8*x^6) / ((1 - 3*x - 3*x^2 - 2*x^3)*(1 - 15*x - 15*x^2 - 12*x^3)). - Colin Barker, Jun 17 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206521.

Sequence in context: A079516 A206521 A240796 * A016207 A286347 A016147

Adjacent sequences:  A206511 A206512 A206513 * A206515 A206516 A206517

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 08 2012

STATUS

approved

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Last modified September 18 13:49 EDT 2020. Contains 337169 sequences. (Running on oeis4.)