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A305362
Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
1
1, 16, 39, 107, 310, 943, 2935, 9077, 28054, 87562, 272571, 850365, 2654831, 8284969, 25870031, 80782480, 252246425, 787748512, 2460025106, 7682422987, 23991929280, 74925446720, 233989461442, 730741987475, 2282083022643, 7126881707392
OFFSET
1,2
COMMENTS
Column 3 of A305367.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +5*a(n-2) +2*a(n-3) -16*a(n-4) -14*a(n-5) -27*a(n-7) +32*a(n-8) +52*a(n-9) +43*a(n-10) +27*a(n-11) -34*a(n-12) -25*a(n-13) -12*a(n-14) +13*a(n-15) +a(n-16) -20*a(n-17) -8*a(n-18)
EXAMPLE
Some solutions for n=5
..0..0..1. .0..1..0. .0..1..1. .0..0..0. .0..1..1. .0..1..0. .0..0..1
..1..0..0. .1..1..1. .0..1..0. .0..1..0. .1..1..0. .0..0..0. .0..1..0
..0..0..0. .0..1..1. .1..0..0. .1..1..1. .1..1..1. .1..0..0. .1..1..0
..1..0..1. .0..0..1. .1..1..1. .1..1..1. .1..0..0. .0..0..1. .0..0..1
..1..1..1. .1..0..1. .1..0..1. .0..1..0. .0..0..1. .1..1..1. .1..0..1
CROSSREFS
Cf. A305367.
Sequence in context: A342976 A347410 A253152 * A197603 A144448 A070584
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 31 2018
STATUS
approved