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A206200 Number of (n+1) X 3 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. 1
480, 1060, 3008, 9464, 22576, 67968, 192808, 496088, 1475768, 4018720, 10894120, 31512000, 85274000, 237162184, 670298216, 1827175160, 5121768064, 14281894072, 39288809968, 110061644032, 305182278280, 845001830872, 2359774258680 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A206206.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-2) + 14*a(n-3) - 3*a(n-4) + a(n-5) + a(n-6) + a(n-7) for n > 9.

Empirical g.f.: 4*x*(120 + 265*x + 392*x^2 - 109*x^3 + 38*x^4 + 41*x^5 + 17*x^6 - 9*x^7 - 3*x^8) / (1 - 3*x^2 - 14*x^3 + 3*x^4 - x^5 - x^6 - x^7). - Colin Barker, Jun 14 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206206.

Sequence in context: A179667 A108876 A293187 * A258558 A083728 A199808

Adjacent sequences:  A206197 A206198 A206199 * A206201 A206202 A206203

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 2012

STATUS

approved

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Last modified July 25 02:57 EDT 2021. Contains 346282 sequences. (Running on oeis4.)