A205603 Number of (n+1)X3 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order

77, 1030, 15896, 248392, 3889612, 60868362, 953231848, 14922106020, 233649216140, 3657937755750, 57272812041768, 896673748420488, 14039041888152956, 219800897926415930, 3441347712503165720

Offset

1,1

Comments

Column 2 of A205609

Links

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

Formula

Empirical: a(n) = 192*a(n-2) +1024*a(n-3) -994*a(n-4) -29144*a(n-5) -57188*a(n-6) +259824*a(n-7) +773391*a(n-8) -743544*a(n-9) -3411360*a(n-10) -399168*a(n-11) +4852224*a(n-12) +2985984*a(n-13) for n>14

Example

Some solutions for n=4
..0..0..0....0..1..1....0..1..0....0..1..0....0..1..1....0..0..0....0..0..0
..0..1..0....2..2..0....0..1..0....2..0..1....0..2..3....0..1..1....0..0..0
..0..2..2....2..0..0....0..2..0....0..0..0....1..3..0....2..2..3....0..1..1
..0..2..3....1..1..2....0..2..2....1..2..1....3..3..3....3..3..3....0..2..3
..3..0..1....0..1..1....3..3..0....3..0..2....3..3..3....1..2..1....2..2..2

Crossrefs

Sequence in context: A176632 A093277 A217643 * A073931 A296989 A105253

Adjacent sequences: A205600 A205601 A205602 * A205604 A205605 A205606

Keyword

nonn

Author

R. H. Hardin Jan 29 2012

Status

approved