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A283342
Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.
1
0, 6, 71, 572, 4398, 31952, 224927, 1546856, 10453311, 69685558, 459502052, 3002936368, 19478808736, 125554496370, 804907528188, 5135894512268, 32635990233297, 206632022781320, 1304047329026174, 8205995071868288
OFFSET
1,2
COMMENTS
Column 3 of A283347.
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) -13*a(n-2) -60*a(n-3) -50*a(n-4) +70*a(n-5) +78*a(n-6) +38*a(n-7) -57*a(n-8) -28*a(n-9) -18*a(n-10) +56*a(n-11) -37*a(n-12) +24*a(n-13) -28*a(n-14) +16*a(n-15) -4*a(n-16)
EXAMPLE
Some solutions for n=4
..0..0..1. .0..0..0. .0..1..0. .1..0..1. .1..1..1. .1..0..1. .0..0..0
..0..1..1. .1..0..1. .0..0..0. .0..1..1. .1..0..1. .0..1..1. .1..0..0
..1..0..0. .1..1..0. .1..1..1. .0..0..1. .0..1..0. .1..0..0. .1..1..1
..0..1..1. .0..1..1. .1..0..0. .0..0..0. .0..0..1. .0..1..1. .0..1..0
CROSSREFS
Cf. A283347.
Sequence in context: A241883 A297746 A027317 * A099339 A213530 A023038
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 05 2017
STATUS
approved