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A183382 Half the number of n X 3 binary arrays with no element equal to a strict majority of its king-move neighbors. 1
1, 5, 11, 29, 89, 245, 669, 1891, 5297, 14753, 41267, 115455, 322661, 902047, 2522301, 7051895, 19715891, 55124449, 154123101, 430912643, 1204794989, 3368504981, 9418046333, 26332052309, 73622187095, 205841375745, 575515014243 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A183386.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 4*a(n-1) - 4*a(n-2) + 6*a(n-3) - 13*a(n-4) + 3*a(n-5) - 2*a(n-6) + 6*a(n-7) + 4*a(n-8) + 5*a(n-9) - 4*a(n-10) - 2*a(n-11).

Empirical g.f.: x*(1 + 2*x - 2*x^2)*(1 - x - x^2 - x^3 - x^5 + 3*x^6 + x^7 + x^8) / (1 - 4*x + 4*x^2 - 6*x^3 + 13*x^4 - 3*x^5 + 2*x^6 - 6*x^7 - 4*x^8 - 5*x^9 + 4*x^10 + 2*x^11). - Colin Barker, Mar 28 2018

EXAMPLE

Some solutions for 5 X 3:

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

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

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

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

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

CROSSREFS

Cf. A183386.

Sequence in context: A237642 A059508 A084817 * A100965 A001632 A234511

Adjacent sequences:  A183379 A183380 A183381 * A183383 A183384 A183385

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 04 2011

STATUS

approved

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Last modified April 22 22:38 EDT 2019. Contains 322380 sequences. (Running on oeis4.)