A304219 Number of nX6 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero.

13, 49, 56, 108, 279, 740, 1628, 3759, 9029, 20849, 48072, 112793, 263016, 610412, 1423125, 3318263, 7722039, 17983738, 41903265, 97586352, 227264234, 529380169, 1233005995, 2871700339, 6688659016, 15578951215, 36284973732, 84512326804

Offset

1,1

Comments

Column 6 of A304221.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +5*a(n-3) +2*a(n-4) -3*a(n-5) -4*a(n-6) -3*a(n-7) -2*a(n-8) +3*a(n-9) +3*a(n-10) -3*a(n-11) -a(n-12) +a(n-13) +a(n-14) for n>19

Example

Some solutions for n=7
..0..1..1..1..1..1. .0..1..1..1..1..1. .0..0..0..0..0..1. .0..0..0..0..0..0
..1..1..1..1..1..1. .1..1..1..1..0..1. .0..0..0..0..0..0. .0..1..0..0..0..0
..1..1..1..1..1..1. .1..1..1..1..1..1. .0..1..0..0..0..0. .0..0..0..0..0..0
..1..0..1..1..0..1. .1..0..1..1..1..1. .0..0..0..0..0..0. .0..0..0..0..0..0
..1..1..1..1..1..1. .1..1..1..1..1..1. .0..0..0..0..0..0. .0..0..0..0..0..0
..1..1..1..1..1..1. .1..1..1..1..1..1. .0..0..0..0..0..1. .0..0..0..0..0..0
..1..1..1..1..1..1. .1..1..1..1..1..1. .1..0..0..0..1..1. .0..0..0..0..0..0

Crossrefs

Cf. A304221.

Sequence in context: A080171 A303680 A304131 * A305480 A044115 A044496

Adjacent sequences: A304216 A304217 A304218 * A304220 A304221 A304222

Keyword

nonn

Author

R. H. Hardin, May 08 2018

Status

approved