A304771 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 7 king-move adjacent elements, with upper left element zero.

8, 49, 67, 172, 443, 1094, 2710, 6861, 17205, 43090, 108354, 272151, 683041, 1715450, 4308348, 10818085, 27165863, 68220510, 171312464, 430193109, 1080297705, 2712821764, 6812367886, 17107084553, 42958966889, 107877614976, 270899989904

Offset

1,1

Comments

Column 4 of A304775.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A304775.

Sequence in context: A355434 A303723 A305226 * A316514 A352179 A304468

Adjacent sequences: A304768 A304769 A304770 * A304772 A304773 A304774

Keyword

nonn

Author

R. H. Hardin, May 18 2018

Status

approved