A283945 Number of nX3 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

0, 2, 87, 900, 8184, 71486, 597042, 4841992, 38481035, 301045074, 2325973337, 17791497852, 134963190603, 1016694067048, 7613544177440, 56723271609684, 420727176381709, 3108419156136654, 22886154154768656, 167982184418042992

Offset

1,2

Comments

Column 3 of A283950.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -53*a(n-2) +66*a(n-3) -370*a(n-4) +772*a(n-5) -629*a(n-6) +2740*a(n-7) -3912*a(n-8) +2424*a(n-9) -8276*a(n-10) +9824*a(n-11) -5152*a(n-12) +8320*a(n-13) -10816*a(n-14) +5632*a(n-15) -1024*a(n-16)

Example

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

Crossrefs

Cf. A283950.

Sequence in context: A358807 A177318 A280551 * A172736 A244386 A273520

Adjacent sequences: A283942 A283943 A283944 * A283946 A283947 A283948

Keyword

nonn

Author

R. H. Hardin, Mar 18 2017

Status

approved