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A283198
Number of n X 3 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element.
1
0, 6, 83, 868, 7899, 66412, 535025, 4184880, 32026556, 241090458, 1791592450, 13175736396, 96069953412, 695476880430, 5004133981688, 35817610394980, 255201639221479, 1811058243134494, 12806908125346701, 90279051900950660
OFFSET
1,2
COMMENTS
Column 3 of A283203.
LINKS
FORMULA
Empirical: a(n) = 10*a(n-1) -11*a(n-2) -20*a(n-3) -263*a(n-4) -506*a(n-5) -1037*a(n-6) -898*a(n-7) -488*a(n-8) +752*a(n-9) +1264*a(n-10) +842*a(n-11) -248*a(n-12) -744*a(n-13) -153*a(n-14) +170*a(n-15) +51*a(n-16) -12*a(n-17) -4*a(n-18).
EXAMPLE
Some solutions for n=4
..0..1..0. .0..0..1. .0..0..0. .1..1..0. .1..0..1. .1..0..0. .1..0..1
..0..1..0. .0..1..1. .1..0..0. .1..1..0. .1..1..1. .1..1..1. .1..1..0
..0..1..1. .0..0..1. .0..1..1. .1..0..1. .0..0..1. .1..0..1. .1..0..0
..0..1..1. .0..1..1. .1..1..1. .1..0..0. .0..1..0. .1..1..0. .0..1..1
CROSSREFS
Cf. A283203.
Sequence in context: A155811 A239170 A112462 * A186661 A186659 A196256
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 02 2017
STATUS
approved