A283860 Number of 4Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors.

16, 256, 2837, 35373, 456316, 5742620, 72394838, 916118713, 11578902038, 146303878883, 1849120160189, 23370319192081, 295356801554484, 3732805298242779, 47176419243543777, 596229278644402659

Offset

1,1

Comments

Row 4 of A283857.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +28*a(n-2) +366*a(n-3) +386*a(n-4) -779*a(n-5) -7223*a(n-6) -24938*a(n-7) -38986*a(n-8) -8415*a(n-9) +26074*a(n-10) -17823*a(n-11) -21705*a(n-12) +40001*a(n-13) +40567*a(n-14) -22002*a(n-15) -44398*a(n-16) +15085*a(n-17) +24099*a(n-18) +3105*a(n-19) -1004*a(n-20) -3751*a(n-21) -1424*a(n-22) +52*a(n-23) +59*a(n-24) -894*a(n-25) -146*a(n-26) +193*a(n-27) -14*a(n-28)

Example

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

Crossrefs

Cf. A283857.

Sequence in context: A223617 A174335 A297377 * A223660 A223565 A223677

Adjacent sequences: A283857 A283858 A283859 * A283861 A283862 A283863

Keyword

nonn

Author

R. H. Hardin, Mar 17 2017

Status

approved