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A279743
Number of 3Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1
0, 8, 35, 106, 286, 746, 1887, 4700, 11553, 28104, 67759, 162144, 385583, 912098, 2147806, 5037496, 11773111, 27427532, 63715400, 147634764, 341291898, 787312776, 1812720970, 4166252110, 9559865376, 21903001872, 50112866179
OFFSET
1,2
COMMENTS
Row 3 of A279741.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +10*a(n-4) -30*a(n-5) +21*a(n-6) +2*a(n-7) -14*a(n-8) +10*a(n-9) -7*a(n-10) +6*a(n-11) +6*a(n-12) -2*a(n-13) -a(n-14) -2*a(n-15) -a(n-16) for n>18
EXAMPLE
Some solutions for n=4
..0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..0. .0..1..0..1
..1..0..0..0. .0..1..0..0. .1..0..0..1. .0..1..1..1. .0..0..0..0
..0..1..1..0. .0..1..1..0. .1..1..0..0. .0..0..0..1. .0..1..1..0
CROSSREFS
Cf. A279741.
Sequence in context: A168566 A058102 A212674 * A189592 A285737 A244882
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 18 2016
STATUS
approved