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A316878 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1
4, 14, 37, 105, 388, 1280, 4121, 13933, 46641, 154593, 516270, 1725502, 5753200, 19197252, 64095188, 213911810, 713904833, 2382943651, 7953695202, 26546786860, 88606850547, 295748963969, 987132925969, 3294803783913, 10997255560702 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316883.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +4*a(n-2) +14*a(n-3) -19*a(n-4) -63*a(n-5) -93*a(n-6) +71*a(n-7) +279*a(n-8) +285*a(n-9) -86*a(n-10) -418*a(n-11) -276*a(n-12) +28*a(n-13) +90*a(n-14) -9*a(n-15) for n>17

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316883.

Sequence in context: A209399 A192974 A187428 * A036368 A006071 A086954

Adjacent sequences:  A316875 A316876 A316877 * A316879 A316880 A316881

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 15 2018

STATUS

approved

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Last modified June 20 11:45 EDT 2021. Contains 345164 sequences. (Running on oeis4.)