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, 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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A305081 A305082 A305083 * A305085 A305086 A305087

Keyword

nonn

Author

R. H. Hardin, May 25 2018

Status

approved