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A231446
Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order
1
4, 32, 340, 4179, 54868, 741430, 10145989, 139597860, 1925134584, 26574209688, 366972060064, 5068479573192, 70008757982841, 967029050764704, 13357705471136801, 184512744141282726, 2548717919400219436
OFFSET
1,1
COMMENTS
Column 3 of A231451
LINKS
FORMULA
Empirical: a(n) = 37*a(n-1) -570*a(n-2) +5132*a(n-3) -31207*a(n-4) +138163*a(n-5) -465831*a(n-6) +1230771*a(n-7) -2586152*a(n-8) +4340528*a(n-9) -5811522*a(n-10) +6165034*a(n-11) -5094306*a(n-12) +3181860*a(n-13) -1438353*a(n-14) +441099*a(n-15) -81243*a(n-16) +6561*a(n-17)
EXAMPLE
Some solutions for n=6
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..1..1....0..0..0..1....0..0..0..0....0..0..0..1....0..0..1..1
..1..1..0..0....1..1..1..2....0..1..1..1....1..1..1..1....1..1..1..0
..1..0..0..2....2..2..2..2....1..2..2..2....2..2..2..2....0..0..0..1
..0..2..2..0....3..3..3..3....2..2..2..1....2..0..0..2....0..0..1..1
..2..0..0..2....1..1..1..1....2..2..1..1....0..0..2..2....2..2..2..1
..0..0..2..2....0..0..0..0....0..0..0..0....0..0..0..0....2..2..1..1
CROSSREFS
Sequence in context: A002005 A123309 A186391 * A137432 A177750 A304911
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 09 2013
STATUS
approved