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A305084
Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.
1
1, 14, 22, 34, 182, 438, 920, 3431, 9510, 23203, 71980, 207896, 548764, 1589150, 4583355, 12584286, 35647621, 101918420, 284776152, 802405630, 2278924650, 6411920377, 18060406770, 51105607469, 144130596082, 406239439148
OFFSET
1,2
COMMENTS
Column 3 of A305089.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +3*a(n-2) +12*a(n-3) -2*a(n-4) -36*a(n-5) -26*a(n-6) +9*a(n-7) +47*a(n-8) +11*a(n-9) +6*a(n-10) -2*a(n-11) -4*a(n-12) -16*a(n-13) -8*a(n-14) for n>16
EXAMPLE
Some solutions for n=5
..0..0..1. .0..0..0. .0..1..1. .0..1..0. .0..1..1. .0..1..0. .0..0..0
..0..1..1. .0..1..1. .0..0..1. .1..1..1. .0..1..0. .1..1..1. .0..1..0
..1..1..1. .0..0..1. .1..1..1. .1..0..1. .0..0..0. .1..1..1. .1..0..1
..1..0..0. .0..0..0. .1..1..0. .0..0..1. .1..1..0. .1..0..0. .1..1..1
..1..1..0. .1..0..1. .1..0..0. .1..1..1. .0..1..0. .1..0..1. .0..1..0
CROSSREFS
Cf. A305089.
Sequence in context: A318929 A187776 A048196 * A225710 A183185 A324526
KEYWORD
nonn
AUTHOR
R. H. Hardin, May 25 2018
STATUS
approved