A231311 Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order

57, 937, 18334, 352610, 6781436, 130633288, 2516212586, 48467679482, 933608055112, 17983615795542, 346409439393284, 6672714054969582, 128533200257770904, 2475871681865298784, 47691495995570845668

Offset

1,1

Comments

Column 2 of A231315

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -26*a(n-2) -69*a(n-3) -1540*a(n-4) +1809*a(n-5) +1273*a(n-6) +5033*a(n-7) -10255*a(n-8) +22194*a(n-9) -27726*a(n-10) +2430*a(n-11) -43356*a(n-12) +163556*a(n-13) -127656*a(n-14) -74304*a(n-15) +140896*a(n-16) -51264*a(n-17)

Example

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

Crossrefs

Sequence in context: A254783 A233370 A008390 * A008922 A332947 A116181

Adjacent sequences: A231308 A231309 A231310 * A231312 A231313 A231314

Keyword

nonn

Author

R. H. Hardin, Nov 07 2013

Status

approved