A206595 Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..3 introduced in row major order

171, 9449, 551631, 32258200, 1886206112, 110294918412, 6449441361133, 377127604356885, 22052335771550411, 1289498594172126400, 75402743530876523488, 4409135271445054483412, 257821836876089274588349

Offset

1,1

Comments

Column 2 of A206600

Links

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

Formula

Empirical: a(n) = 51*a(n-1) +353*a(n-2) +4958*a(n-3) -2678*a(n-4) +14656*a(n-5) -160635*a(n-6) +19303*a(n-7) -859799*a(n-8) +242534*a(n-9) +14671*a(n-10) +3134369*a(n-11) +2183000*a(n-12) +2077689*a(n-13) -573423*a(n-14) -682544*a(n-15) -455304*a(n-16)

Example

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

Crossrefs

Sequence in context: A152926 A239270 A262142 * A127959 A046166 A262113

Adjacent sequences: A206592 A206593 A206594 * A206596 A206597 A206598

Keyword

nonn

Author

R. H. Hardin Feb 09 2012

Status

approved