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A209041 Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. 1
12, 124, 1300, 13644, 143212, 1503212, 15778340, 165616044, 1738375148, 18246711388, 191525101396, 2010327432972, 21101236121548, 221487384867980, 2324824070641124, 24402324144347820, 256136983080016460 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A209047.

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) - 5*a(n-2) - 3*a(n-3).

Empirical g.f.: 4*x*(1 - x)*(3 + x) / (1 - 11*x + 5*x^2 + 3*x^3). - Colin Barker, Jul 08 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Cf. A209047.

Sequence in context: A045507 A288350 A331396 * A155595 A070312 A153427

Adjacent sequences:  A209038 A209039 A209040 * A209042 A209043 A209044

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 04 2012

STATUS

approved

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Last modified March 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)