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A317692 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
3, 9, 14, 33, 92, 220, 593, 1787, 5401, 16954, 55199, 182686, 613262, 2081449, 7111645, 24412407, 84069938, 290115461, 1002577520, 3467926870, 12002906321, 41560738593, 143945514141, 498643272858, 1727563137885, 5985662474410 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A317697.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) -6*a(n-2) +16*a(n-3) -60*a(n-4) +43*a(n-5) -36*a(n-6) +156*a(n-7) -49*a(n-8) -12*a(n-9) -91*a(n-10) +28*a(n-11) -94*a(n-12) -121*a(n-13) +362*a(n-14) -148*a(n-15) -28*a(n-16) +16*a(n-17) for n>19

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317697.

Sequence in context: A316422 A100785 A317038 * A175351 A050005 A272026

Adjacent sequences:  A317689 A317690 A317691 * A317693 A317694 A317695

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 04 2018

STATUS

approved

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Last modified August 24 05:52 EDT 2019. Contains 326260 sequences. (Running on oeis4.)