A231452 Number of (2+1)X(n+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

6, 15, 32, 87, 229, 647, 1829, 5293, 15405, 45267, 133622, 396229, 1178280, 3512183, 10486280, 31348643, 93802627, 280872905, 841438827, 2521717541, 7559421071, 22665628739, 67969023714, 203845636065, 611401428290, 1833905526365

Offset

1,1

Comments

Row 2 of A231451

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -7*a(n-2) -20*a(n-3) +52*a(n-4) -14*a(n-5) -69*a(n-6) +56*a(n-7) +24*a(n-8) +14*a(n-9) -81*a(n-10) +112*a(n-12) -6*a(n-13) -3*a(n-14) -36*a(n-15) -27*a(n-16)

Example

Some solutions for n=6
..0..0..0..1..1..1..0....0..0..1..1..1..2..2....0..0..0..0..1..1..2
..0..0..1..1..1..0..0....0..1..1..1..2..2..3....0..0..0..1..1..2..3
..0..1..1..1..0..0..0....3..3..3..3..3..3..3....2..2..2..2..2..3..3

Crossrefs

Sequence in context: A231264 A121666 A186829 * A118734 A200895 A225278

Adjacent sequences: A231449 A231450 A231451 * A231453 A231454 A231455

Keyword

nonn

Author

R. H. Hardin, Nov 09 2013

Status

approved