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A316927 Number of n X 3 0..1 arrays with every element unequal to 0, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 2
1, 8, 25, 143, 851, 5114, 31197, 191330, 1175122, 7224809, 44437623, 273364775, 1681777472, 10346885271, 63658582520, 391658145868, 2409675958077, 14825545328503, 91214305480541, 561197004289508, 3452771040560531 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Column 3 of A316932.
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) -3*a(n-2) -3*a(n-3) -64*a(n-4) -24*a(n-5) +77*a(n-6) +105*a(n-7) +88*a(n-8) -14*a(n-9) -40*a(n-10) +10*a(n-11) +18*a(n-12) +4*a(n-13) for n > 15.
EXAMPLE
Some solutions for n=5
..0..1..1. .0..1..1. .0..1..0. .0..1..0. .0..0..1. .0..0..1. .0..1..1
..1..0..0. .0..1..1. .1..0..1. .1..0..1. .1..1..0. .1..1..0. .0..1..1
..0..0..1. .0..0..0. .1..0..0. .1..1..1. .0..0..0. .1..0..1. .1..1..1
..1..0..1. .1..1..0. .1..0..1. .0..0..0. .0..1..0. .0..0..0. .0..0..0
..0..1..0. .1..1..0. .1..0..1. .1..0..1. .0..1..0. .1..1..1. .0..0..0
CROSSREFS
Cf. A316932.
Sequence in context: A302617 A042189 A305680 * A004246 A362276 A220535
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 16 2018
STATUS
approved

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Last modified May 27 02:06 EDT 2024. Contains 372847 sequences. (Running on oeis4.)