A283037 - OEIS

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, 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