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A316643 Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1
1, 11, 15, 33, 117, 247, 599, 1757, 4241, 10783, 29239, 74521, 192273, 508375, 1317567, 3422449, 8971629, 23370303, 60880867, 159136445, 415145389, 1082772235, 2827552935, 7379387077, 19255943685, 50269166119, 131207698359 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A316648.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +13*a(n-3) -13*a(n-4) -46*a(n-5) -59*a(n-6) +53*a(n-7) +153*a(n-8) +98*a(n-9) -60*a(n-10) -140*a(n-11) -7*a(n-12) +67*a(n-13) +15*a(n-14) -78*a(n-15) -48*a(n-16) -32*a(n-17)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316648.

Sequence in context: A275242 A030099 A085597 * A097512 A032490 A068483

Adjacent sequences:  A316640 A316641 A316642 * A316644 A316645 A316646

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 09 2018

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)