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A283573
Number of 2Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
1
0, 4, 26, 72, 282, 908, 2832, 8856, 26750, 80088, 237190, 695272, 2024064, 5853676, 16835874, 48194664, 137385394, 390201476, 1104636144, 3118021376, 8778028806, 24653647608, 69091665822, 193246772832, 539525988960, 1503796131028
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OFFSET
1,2
COMMENTS
Row 2 of
A283572
.
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 2*a(n-1) +5*a(n-2) +2*a(n-3) -17*a(n-4) -24*a(n-5) -16*a(n-6).
Empirical: G.f.: 2*x^2*(2+9*x)/(-1+x+3*x^2+4*x^3)^2 . -
R. J. Mathar
, Mar 11 2017
EXAMPLE
Some solutions for n=4
..0..0..1..1. .0..0..0..0. .1..1..0..0. .1..0..1..1. .0..1..1..1
..0..1..0..1. .0..1..1..1. .1..0..0..0. .1..0..0..1. .0..1..0..1
CROSSREFS
Cf.
A283572
.
Sequence in context:
A273981
A099442
A014450
*
A200058
A142962
A247194
Adjacent sequences:
A283570
A283571
A283572
*
A283574
A283575
A283576
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Mar 11 2017
STATUS
approved