A317113 - OEIS

A317113

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 30, 142, 698, 3398, 16686, 81809, 401415, 1969107, 9660093, 47389711, 232481946, 1140496397, 5594981980, 27447541559, 134650576212, 660561074466, 3240542648641, 15897268312271, 77987907394984, 382588604448738

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OFFSET

1,1

COMMENTS

Column 3 of A317118.

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) -a(n-3) -12*a(n-4) +7*a(n-5) -a(n-6) -20*a(n-7) +15*a(n-8) -3*a(n-9) -3*a(n-10) for n>12

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317118.

Sequence in context: A316178 A375260 A305764 * A123351 A305525 A316999

Adjacent sequences: A317110 A317111 A317112 * A317114 A317115 A317116

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 21 2018

STATUS

approved