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A316999
Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.
1
4, 30, 162, 894, 4905, 26952, 148138, 814090, 4474116, 24589282, 135138808, 742704801, 4081805962, 22433046900, 123288989733, 677579579346, 3723885463368, 20465969746469, 112478195239041, 618164912416022
OFFSET
1,1
COMMENTS
Column 3 of A317004.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +3*a(n-2) +7*a(n-3) -48*a(n-4) +5*a(n-5) +10*a(n-6) +2*a(n-7) -19*a(n-8) -15*a(n-9) -6*a(n-10) -a(n-11) for n>12
EXAMPLE
Some solutions for n=5
..0..1..0. .0..1..0. .0..1..1. .0..0..1. .0..0..0. .0..0..0. .0..1..0
..1..0..0. .0..1..1. .0..1..1. .1..1..1. .1..1..1. .0..0..1. .0..0..1
..0..1..0. .1..1..1. .0..1..1. .0..1..0. .1..1..1. .1..1..1. .0..1..0
..1..0..0. .1..1..1. .0..1..1. .0..0..1. .0..0..1. .1..0..1. .1..0..0
..1..0..1. .0..1..0. .1..0..0. .1..0..1. .0..1..1. .0..0..1. .0..0..0
CROSSREFS
Cf. A317004.
Sequence in context: A317113 A123351 A305525 * A217213 A119697 A316817
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 18 2018
STATUS
approved