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A281564
Number of 2Xn 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
1
0, 0, 5, 18, 141, 602, 2180, 7006, 20979, 59698, 163635, 435900, 1135036, 2901852, 7307093, 18167506, 44683929, 108886702, 263208036, 631773802, 1507041943, 3575151970, 8439694735, 19835439712, 46433224508, 108305733064, 251797970649
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OFFSET
1,3
COMMENTS
Row 2 of
A281563
.
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 7*a(n-1) -10*a(n-2) -29*a(n-3) +68*a(n-4) +67*a(n-5) -195*a(n-6) -108*a(n-7) +306*a(n-8) +132*a(n-9) -276*a(n-10) -96*a(n-11) +136*a(n-12) +32*a(n-13) -32*a(n-14) for n>15
EXAMPLE
Some solutions for n=4
..0..1..0..0. .0..0..0..1. .0..1..1..0. .0..1..1..0. .0..1..1..0
..0..0..1..0. .0..1..1..1. .1..1..1..0. .0..1..1..1. .0..0..0..0
CROSSREFS
Cf.
A281563
.
Sequence in context:
A140296
A278172
A204252
*
A291356
A091059
A352663
Adjacent sequences:
A281561
A281562
A281563
*
A281565
A281566
A281567
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Jan 24 2017
STATUS
approved