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A209013 Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it. 1
12, 130, 1430, 15724, 172936, 1901964, 20918008, 230058424, 2530206824, 27827480224, 306049553920, 3365965156848, 37019238613696, 407141477256160, 4477784761704800, 49247147465796160, 541625304181537792 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A209019.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) + 38*a(n-2) - 52*a(n-3) - 40*a(n-4) + 44*a(n-5) - 12*a(n-6).

Empirical g.f.: 2*x*(6 + 17*x - 33*x^2 - 16*x^3 + 22*x^4 - 2*x^5) / (1 - 8*x - 38*x^2 + 52*x^3 + 40*x^4 - 44*x^5 + 12*x^6). - Colin Barker, Jul 07 2018

EXAMPLE

Some solutions for n=4:

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

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

  3 1   1 0   3 3   1 1   1 0   1 3   0 3   3 3   3 1   1 0

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

CROSSREFS

Cf. A209019.

Sequence in context: A239407 A163414 A111777 * A240798 A160962 A097783

Adjacent sequences:  A209010 A209011 A209012 * A209014 A209015 A209016

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 04 2012

STATUS

approved

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Last modified November 18 04:44 EST 2019. Contains 329248 sequences. (Running on oeis4.)