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A208383 Number of 7 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically. 1
14, 196, 216, 1200, 4416, 14976, 60984, 231744, 851400, 3276624, 12438144, 46737936, 177585096, 673147200, 2544020136, 9639951936, 36515578944, 138204393264, 523395873000, 1982108510304, 7504603109784, 28417632893376 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 7 of A208379.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + 4*a(n-2) + 21*a(n-3) + 14*a(n-4) - 5*a(n-5) + 25*a(n-6) for n>8.

Empirical g.f.: 2*x*(7 + 91*x - 18*x^2 - 47*x^3 - 980*x^4 - 725*x^5 + 375*x^6 - 1250*x^7) / (1 - x - 4*x^2 - 21*x^3 - 14*x^4 + 5*x^5 - 25*x^6). - Colin Barker, Jul 02 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

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

CROSSREFS

Cf. A208379.

Sequence in context: A158530 A171319 A007655 * A208110 A208842 A207490

Adjacent sequences:  A208380 A208381 A208382 * A208384 A208385 A208386

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 25 2012

STATUS

approved

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Last modified April 10 16:16 EDT 2021. Contains 342845 sequences. (Running on oeis4.)