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A207044 Number of (n+1) X 3 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. 1
150, 270, 552, 1182, 2244, 4722, 9582, 18930, 39348, 78804, 159042, 325836, 653826, 1328730, 2698986, 5441712, 11061960, 22395798, 45304764, 91960698, 186084846, 376987458, 764272620, 1547133684, 3135436986, 6352558164, 12865282314 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A207050.

LINKS

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

FORMULA

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

Empirical g.f.: 6*x*(25 + 45*x + 42*x^2 - 18*x^3 - 10*x^4 + 3*x^5 + x^6) / (1 - 2*x^2 - 5*x^3 + x^4 + x^5). - Colin Barker, Jun 17 2018

EXAMPLE

Some solutions for n=4:

  2 2 0    1 2 2    1 0 2    1 2 2    2 0 0    0 1 1    0 1 1

  2 0 0    2 2 2    1 1 2    2 2 2    2 2 0    0 1 1    1 1 1

  2 0 0    2 2 1    1 1 1    2 2 0    2 2 2    0 0 1    1 1 0

  2 2 0    2 0 0    0 1 1    2 0 0    1 2 2    0 0 0    1 2 2

  2 2 2    2 0 0    0 0 0    0 0 0    1 1 2    1 0 0    1 2 2

CROSSREFS

Cf. A207050.

Sequence in context: A116185 A008889 A184075 * A292705 A335145 A063829

Adjacent sequences:  A207041 A207042 A207043 * A207045 A207046 A207047

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 14 2012

STATUS

approved

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Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)