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A317031 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1
4, 14, 30, 82, 280, 842, 2591, 8141, 25387, 79075, 247002, 771516, 2408705, 7522325, 23494122, 73374104, 229158274, 715707738, 2235297120, 6981287296, 21804026411, 68098596051, 212686440221, 664265316611, 2074643216856, 6479557040796 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A317036.

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) +8*a(n-3) -13*a(n-4) -45*a(n-5) -55*a(n-6) +30*a(n-7) +163*a(n-8) +194*a(n-9) +12*a(n-10) -223*a(n-11) -209*a(n-12) -51*a(n-13) +37*a(n-14) +3*a(n-15) for n>17

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317036.

Sequence in context: A049451 A079776 A117109 * A140063 A051409 A072475

Adjacent sequences:  A317028 A317029 A317030 * A317032 A317033 A317034

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 19 2018

STATUS

approved

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Last modified April 21 03:28 EDT 2021. Contains 343145 sequences. (Running on oeis4.)