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A316306 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1
3, 7, 10, 21, 44, 83, 168, 365, 766, 1615, 3490, 7555, 16450, 36279, 80602, 180187, 405906, 920301, 2097902, 4807235, 11066060, 25572903, 59300268, 137919877, 321585732, 751461855, 1759215072, 4124852047, 9684327044, 22762103611 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316311.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +5*a(n-3) -16*a(n-4) +12*a(n-5) -7*a(n-6) +18*a(n-7) -14*a(n-8) +12*a(n-9) +2*a(n-10) +11*a(n-11) -13*a(n-12) -10*a(n-13) -5*a(n-14) -2*a(n-15) +4*a(n-16)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316311.

Sequence in context: A345891 A279912 A305477 * A317261 A024464 A127277

Adjacent sequences:  A316303 A316304 A316305 * A316307 A316308 A316309

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 29 2018

STATUS

approved

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Last modified September 18 13:54 EDT 2021. Contains 347527 sequences. (Running on oeis4.)