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A283538 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1
7, 27, 127, 573, 2615, 11903, 54211, 246869, 1124239, 5119755, 23315255, 106177157, 483528423, 2201977727, 10027757771, 45666186717, 207962802543, 947057995307, 4312881128207, 19640765104365, 89443609136599, 407324214350687 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A283543.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) -a(n-2) -7*a(n-3) +10*a(n-4) +4*a(n-5) -8*a(n-6).
Empirical: G.f.: -x*(x-1)*(8*x^4 +12*x^3 -2*x^2 -x+7) /(1 -5*x +x^2 +7*x^3 -10*x^4 -4*x^5 +8*x^6) . - R. J. Mathar, Mar 11 2017
EXAMPLE
Some solutions for n=4
..0..0..0. .1..0..1. .0..0..0. .0..0..0. .0..1..1. .1..0..1. .0..0..0
..0..0..1. .0..0..0. .0..0..1. .1..0..1. .0..0..0. .0..0..0. .0..1..0
..0..0..0. .1..1..0. .0..0..0. .1..0..1. .0..1..0. .0..0..1. .1..0..0
..0..1..1. .0..0..0. .1..1..0. .1..0..0. .0..0..1. .0..1..0. .1..0..1
CROSSREFS
Cf. A283543.
Sequence in context: A147996 A267365 A034536 * A214459 A179597 A295209
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 10 2017
STATUS
approved

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Last modified May 21 13:22 EDT 2024. Contains 372736 sequences. (Running on oeis4.)