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A282832
Number of nX2 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly two elements.
1
0, 0, 0, 16, 32, 144, 544, 1664, 5664, 17968, 56096, 174576, 533504, 1618432, 4870464, 14545488, 43184928, 127499856, 374584288, 1095687296, 3192166752, 9266416752, 26810232864, 77333818800, 222445402560, 638195965440, 1826597535360
OFFSET
1,4
COMMENTS
Column 2 of A282838.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +6*a(n-2) -5*a(n-3) -42*a(n-4) -33*a(n-5) +51*a(n-6) +156*a(n-7) +144*a(n-8) +64*a(n-9).
Empirical: G.f.: 16*x^4*(-1+x+3*x^2)/(4*x^3+3*x^2+x-1)^3 . - R. J. Mathar, Feb 23 2017
EXAMPLE
Some solutions for n=4
..0..1. .1..0. .1..0. .0..1. .1..0. .0..1. .0..1. .1..0. .0..1. .1..0
..1..0. .1..0. .1..0. .0..1. .1..0. .1..0. .1..0. .0..1. .0..1. .1..0
..0..1. .0..1. .1..0. .1..0. .1..0. .1..0. .0..1. .1..0. .1..0. .0..1
..0..1. .0..1. .1..0. .0..1. .0..1. .1..0. .1..0. .0..1. .1..0. .1..0
CROSSREFS
Cf. A282838.
Sequence in context: A272697 A232510 A339356 * A331420 A206344 A119349
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 22 2017
STATUS
approved