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A282880
Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.
1
1, 8, 74, 430, 2426, 13062, 67676, 342972, 1707597, 8384136, 40716024, 195950228, 935955604, 4442192472, 20968437076, 98509310972, 460879910601, 2148369624844, 9981992555058, 46244594782978, 213681269956154, 985012878231418
OFFSET
1,2
COMMENTS
Column 3 of A282885.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +17*a(n-2) +22*a(n-3) -75*a(n-4) -376*a(n-5) -834*a(n-6) -1206*a(n-7) -1229*a(n-8) -824*a(n-9) -187*a(n-10) +346*a(n-11) +511*a(n-12) +344*a(n-13) +91*a(n-14) -74*a(n-15) -106*a(n-16) -42*a(n-17) +2*a(n-18) +16*a(n-19) +4*a(n-20) -a(n-22)
EXAMPLE
Some solutions for n=4
..0..0..0. .0..0..0. .0..1..0. .1..0..0. .0..1..1. .0..0..1. .0..0..1
..1..0..0. .0..0..1. .1..0..1. .0..1..1. .1..0..0. .1..1..0. .1..1..0
..1..0..1. .1..1..0. .0..0..1. .1..0..0. .0..0..0. .0..0..0. .0..0..0
..1..0..0. .0..0..1. .0..0..1. .0..0..1. .0..1..1. .1..0..1. .0..1..0
CROSSREFS
Cf. A282885.
Sequence in context: A195754 A137140 A187529 * A190953 A220458 A144850
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 24 2017
STATUS
approved