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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. 1
0, 2, 87, 900, 8184, 71486, 597042, 4841992, 38481035, 301045074, 2325973337, 17791497852, 134963190603, 1016694067048, 7613544177440, 56723271609684, 420727176381709, 3108419156136654, 22886154154768656, 167982184418042992 (list; graph; refs; listen; history; text; internal format)
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: A317372 A177318 A280551 * A172736 A244386 A273520

Adjacent sequences:  A283942 A283943 A283944 * A283946 A283947 A283948

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 18 2017

STATUS

approved

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Last modified September 28 09:32 EDT 2021. Contains 347714 sequences. (Running on oeis4.)