A283721 Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.

0, 10, 159, 1304, 9819, 69972, 478164, 3182364, 20764075, 133429620, 847160264, 5326384974, 33218865533, 205768886352, 1267218413380, 7765068162382, 47373987672324, 287914794741192, 1743841385348260, 10529990498553708

Offset

1,2

Comments

Column 3 of A283726.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -21*a(n-2) +8*a(n-3) -162*a(n-4) +38*a(n-5) -270*a(n-6) +654*a(n-7) +231*a(n-8) +1484*a(n-9) -390*a(n-10) -508*a(n-11) -2885*a(n-12) -2464*a(n-13) -316*a(n-14) +1760*a(n-15) +4524*a(n-16) +1888*a(n-17) -96*a(n-18) -1920*a(n-19) -1600*a(n-20)

Example

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

Crossrefs

Cf. A283726.

Sequence in context: A379858 A200989 A268883 * A239761 A245916 A245914

Adjacent sequences: A283718 A283719 A283720 * A283722 A283723 A283724

Keyword

nonn

Author

R. H. Hardin, Mar 15 2017

Status

approved