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A299055
Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
1
1, 13, 38, 199, 864, 4366, 21804, 111861, 578509, 3007390, 15688017, 81963177, 428662899, 2243048643, 11740648591, 61463549876, 321797679318, 1684885835098, 8822066509377, 46193090987303, 241873068747484, 1266485180192256
OFFSET
1,2
COMMENTS
Column 3 of A299060.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +9*a(n-2) -31*a(n-3) -62*a(n-4) +46*a(n-5) +78*a(n-6) -36*a(n-7) +53*a(n-8) +101*a(n-9) -86*a(n-10) -14*a(n-11) -26*a(n-12) -28*a(n-13) +6*a(n-14) for n>16
EXAMPLE
Some solutions for n=5
..0..1..1. .0..1..0. .0..0..1. .0..1..0. .0..0..1. .0..1..0. .0..0..1
..1..1..0. .0..0..0. .0..1..1. .1..1..1. .0..1..1. .1..1..1. .0..1..1
..1..0..0. .1..0..0. .1..1..0. .0..1..0. .0..0..1. .1..1..0. .0..0..1
..0..0..1. .0..0..1. .1..1..1. .0..0..0. .1..0..0. .0..0..0. .1..0..0
..0..0..0. .0..1..1. .0..1..0. .1..0..1. .0..0..1. .1..0..0. .0..0..0
CROSSREFS
Cf. A299060.
Sequence in context: A044471 A285525 A209991 * A158647 A283123 A152741
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 01 2018
STATUS
approved