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A317038 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1
3, 9, 14, 33, 90, 204, 527, 1547, 4509, 13756, 44003, 143486, 475482, 1595723, 5396281, 18338839, 62514686, 213545607, 730447004, 2500465998, 8563969469, 29341435507, 100548091093, 344604361018, 1181151528141, 4048673516576 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A317043.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +19*a(n-3) -60*a(n-4) +56*a(n-5) -70*a(n-6) +166*a(n-7) -101*a(n-8) +21*a(n-9) -30*a(n-10) +72*a(n-11) -41*a(n-12) -333*a(n-13) +428*a(n-14) -122*a(n-15) -36*a(n-16) +16*a(n-17) for n>19

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317043.

Sequence in context: A317155 A316422 A100785 * A317692 A175351 A332660

Adjacent sequences:  A317035 A317036 A317037 * A317039 A317040 A317041

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 19 2018

STATUS

approved

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Last modified July 25 10:05 EDT 2021. Contains 346289 sequences. (Running on oeis4.)