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A207924 Number of n X 4 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 1 1 vertically. 2
9, 81, 144, 576, 1936, 6400, 21904, 73984, 250000, 846400, 2862864, 9684544, 32764176, 110838784, 374964496, 1268499456, 4291298064, 14517358144, 49111878544, 166144281664, 562062085264, 1901442429184, 6432533627536 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A207928.

It seems that all terms are squares. - Colin Barker, Mar 06 2018

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 3*a(n-2) + 6*a(n-3) - a(n-4) - a(n-6) for n>8.

Empirical g.f.: x*(9 + 63*x - 45*x^2 - 9*x^3 - 125*x^4 + 17*x^5 - 7*x^6 + 17*x^7) / ((1 + x + x^2 - x^3)*(1 - 3*x - x^2 - x^3)). - Colin Barker, Mar 06 2018

EXAMPLE

Some solutions for n=8:

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A207928.

Sequence in context: A207695 A158028 A207591 * A343134 A343104 A043180

Adjacent sequences:  A207921 A207922 A207923 * A207925 A207926 A207927

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 21 2012

STATUS

approved

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Last modified August 5 15:07 EDT 2021. Contains 346470 sequences. (Running on oeis4.)