A305228 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero.

32, 293, 236, 541, 2050, 7062, 26528, 96528, 359365, 1331372, 4953295, 18415910, 68529992, 254994255, 948995613, 3531814704, 13144690959, 48922066241, 182080588807, 677678047930, 2522227710570, 9387403707474, 34938719542008

Offset

1,1

Comments

Column 6 of A305230.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +a(n-2) -26*a(n-3) +5*a(n-4) +45*a(n-5) +11*a(n-6) -33*a(n-7) -49*a(n-8) +14*a(n-9) +29*a(n-10) +2*a(n-11) +21*a(n-12) -20*a(n-13) -21*a(n-14) +17*a(n-15) +4*a(n-16) -4*a(n-17) for n>22

Example

Some solutions for n=5
..0..0..0..0..0..1. .0..0..0..0..0..1. .0..0..0..0..0..1. .0..0..0..0..1..1
..0..0..0..1..0..0. .0..1..0..1..0..0. .0..1..0..1..0..0. .0..0..0..1..1..1
..0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..1..1..1..1
..0..0..0..0..0..1. .1..0..0..0..0..1. .0..1..0..0..0..0. .0..1..1..1..1..0
..1..0..0..0..1..1. .1..1..0..0..1..1. .0..0..0..0..0..1. .1..1..1..1..0..0

Crossrefs

Cf. A305230.

Sequence in context: A283546 A297685 A303725 * A304773 A316516 A304470

Adjacent sequences: A305225 A305226 A305227 * A305229 A305230 A305231

Keyword

nonn

Author

R. H. Hardin, May 27 2018

Status

approved