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A283037 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element. 1
1, 16, 119, 818, 5065, 30378, 175963, 997302, 5559013, 30578068, 166427637, 897975464, 4809947903, 25605505484, 135587794041, 714668815274, 3751742509465, 19624971865578, 102330051488077, 532058283113570 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A283042.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +16*a(n-2) -154*a(n-4) -470*a(n-5) -644*a(n-6) -306*a(n-7) +401*a(n-8) +700*a(n-9) +315*a(n-10) -82*a(n-11) -168*a(n-12) -104*a(n-13) -11*a(n-14) +14*a(n-15) +5*a(n-16) +2*a(n-17) -a(n-18)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A283042.

Sequence in context: A226761 A250169 A210428 * A093740 A303724 A305227

Adjacent sequences:  A283034 A283035 A283036 * A283038 A283039 A283040

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 27 2017

STATUS

approved

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Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)