A283693 Number of 3Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors.

8, 57, 264, 1521, 8687, 47829, 268285, 1503392, 8399236, 46998162, 262952663, 1470846540, 8228361722, 46031489681, 257506370211, 1440540994224, 8058660343663, 45081605428482, 252194893203897, 1410825055629845

Offset

1,1

Comments

Row 3 of A283691.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +3*a(n-2) +15*a(n-3) -72*a(n-4) -21*a(n-5) +45*a(n-6) +96*a(n-7) +13*a(n-8) -115*a(n-9) +50*a(n-10) -14*a(n-11)

Example

Some solutions for n=4
..0..1..1..1. .0..1..0..0. .1..1..0..1. .0..0..0..1. .0..0..0..0
..0..0..1..0. .0..0..0..1. .0..1..0..1. .0..1..0..0. .0..1..0..0
..0..0..1..0. .0..1..0..1. .0..1..0..0. .1..1..0..1. .0..0..0..1

Crossrefs

Cf. A283691.

Sequence in context: A143570 A365303 A296721 * A297453 A096711 A282394

Adjacent sequences: A283690 A283691 A283692 * A283694 A283695 A283696

Keyword

nonn

Author

R. H. Hardin, Mar 14 2017

Status

approved