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A280401
Number of 3Xn 0..2 arrays with no element unequal 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, 14, 66, 238, 769, 2432, 7440, 22494, 66934, 197146, 575042, 1664510, 4785950, 13683634, 38931434, 110291246, 311272806, 875559938, 2455439762, 6867568958, 19161061470, 53342827474, 148202912538, 410993902254, 1137828238230
OFFSET
1,2
COMMENTS
Row 3 of A280398.
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) -13*a(n-2) -13*a(n-3) +69*a(n-4) -51*a(n-5) -79*a(n-6) +121*a(n-7) +8*a(n-8) -24*a(n-9) -80*a(n-10) -24*a(n-11) +176*a(n-12) -32*a(n-13) -80*a(n-14) -48*a(n-15) +64*a(n-17) for n>19
EXAMPLE
Some solutions for n=4
..0..0..1..1. .0..0..0..1. .0..0..1..1. .0..0..0..1. .0..0..1..1
..0..0..2..2. .1..0..1..1. .0..1..2..2. .0..0..0..1. .0..1..2..2
..0..2..2..2. .0..1..1..1. .1..2..2..0. .0..0..1..1. .2..2..2..2
CROSSREFS
Cf. A280398.
Sequence in context: A249290 A336744 A249291 * A221703 A064096 A250141
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 02 2017
STATUS
approved