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

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A231443 A231444 A231445 * A231447 A231448 A231449

Keyword

nonn

Author

R. H. Hardin, Nov 09 2013

Status

approved