A283853 Number of nX4 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors.

16, 233, 2776, 35373, 448490, 5676420, 71903903, 910712188, 11534678940, 146094562780, 1850383484231, 23436321812180, 296836434645831, 3759628625285727, 47618168759118637, 603115420174313641

Offset

1,1

Comments

Column 4 of A283857.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) +21*a(n-2) +29*a(n-3) -328*a(n-4) -309*a(n-5) +4*a(n-6) +1138*a(n-7) +404*a(n-8) -1281*a(n-9) +253*a(n-10) +24*a(n-11) +904*a(n-12) -475*a(n-13) +164*a(n-14) -138*a(n-15) +24*a(n-16) -2*a(n-17)

Example

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

Crossrefs

Cf. A283857.

Sequence in context: A222938 A265469 A111096 * A266099 A264343 A283411

Adjacent sequences: A283850 A283851 A283852 * A283854 A283855 A283856

Keyword

nonn

Author

R. H. Hardin, Mar 17 2017

Status

approved