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A316378 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1
1, 23, 83, 464, 2280, 11423, 57453, 288496, 1447883, 7274348, 36527122, 183441729, 921291768, 4626743261, 23236097303, 116694404423, 586051094416, 2943215292116, 14781150469720, 74232557467951, 372804116464754 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A316383.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +10*a(n-2) +12*a(n-3) -46*a(n-4) -52*a(n-5) +14*a(n-6) -57*a(n-7) -58*a(n-8) -38*a(n-9) +33*a(n-10) +61*a(n-11) -7*a(n-12) +5*a(n-13) -9*a(n-14) +2*a(n-15) for n>16

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316383.

Sequence in context: A318356 A142790 A288340 * A323147 A262119 A104068

Adjacent sequences:  A316375 A316376 A316377 * A316379 A316380 A316381

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 30 2018

STATUS

approved

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Last modified August 16 15:34 EDT 2022. Contains 356168 sequences. (Running on oeis4.)