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A317866 Number of nX3 0..1 arrays with every element unequal to 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
0, 1, 1, 6, 4, 5, 10, 36, 34, 43, 100, 238, 256, 404, 834, 1650, 2029, 3475, 6656, 11911, 16264, 28718, 52073, 88566, 130729, 231474, 404502, 672893, 1047207, 1838676, 3138625, 5185889, 8345365, 14484260, 24389857, 40314863, 66171913, 113604305 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Column 3 of A317871.

LINKS

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

FORMULA

Empirical: a(n) = -a(n-1) -a(n-2) +2*a(n-3) +9*a(n-4) +9*a(n-5) +6*a(n-6) -9*a(n-7) -15*a(n-8) -14*a(n-9) +2*a(n-10) +10*a(n-11) +3*a(n-12) -3*a(n-13) -6*a(n-14) +a(n-15) +a(n-17) -a(n-18)

EXAMPLE

All solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317871.

Sequence in context: A197295 A199385 A177159 * A201408 A153606 A086057

Adjacent sequences:  A317863 A317864 A317865 * A317867 A317868 A317869

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 09 2018

STATUS

approved

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Last modified April 24 16:26 EDT 2019. Contains 322430 sequences. (Running on oeis4.)