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A305010
Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
1
1, 11, 14, 31, 99, 206, 455, 1321, 3108, 7353, 19511, 48532, 118463, 303897, 765930, 1903657, 4822199, 12178658, 30524501, 77018757, 194412396, 489021459, 1232650101, 3109425604, 7832328261, 19739728551, 49774544636, 125440149679
OFFSET
1,2
COMMENTS
Column 3 of A305015.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +3*a(n-2) +13*a(n-3) -9*a(n-4) -37*a(n-5) -59*a(n-6) +27*a(n-7) +130*a(n-8) +92*a(n-9) -35*a(n-10) -129*a(n-11) -8*a(n-12) +78*a(n-13) +45*a(n-14) -53*a(n-15) -34*a(n-16) -24*a(n-17) for n>18
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..1..0. .0..1..0. .0..0..0
..0..1..0. .1..1..1. .1..0..1. .0..1..0. .0..1..0. .0..0..1. .0..1..1
..0..0..1. .1..1..1. .0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..1..1
..0..0..0. .1..0..1. .1..0..1. .0..1..1. .0..1..0. .0..1..0. .0..0..0
..0..1..0. .1..0..1. .0..0..0. .1..0..1. .0..0..1. .0..1..0. .0..1..1
CROSSREFS
Cf. A305015.
Sequence in context: A043105 A043885 A326916 * A195818 A344825 A371072
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 23 2018
STATUS
approved