A206057 Number of (n+1)X3 0..3 arrays with every 2X3 or 3X2 subblock having exactly two clockwise edge increases

2184, 21140, 167960, 1390488, 11638960, 96831504, 805817696, 6714115792, 55902397592, 465476937176, 3876504593184, 32279865472672, 268800887680752, 2238413081414208, 18639806720997144, 155218800036689864

Offset

1,1

Comments

Column 2 of A206063

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +20*a(n-2) +189*a(n-3) +102*a(n-4) +187*a(n-5) -612*a(n-6) -110*a(n-7) +186*a(n-8) +82*a(n-9) +43*a(n-10) -5*a(n-11) -16*a(n-12) for n>17

Example

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

Crossrefs

Sequence in context: A234733 A371474 A067263 * A130173 A130170 A090318

Adjacent sequences: A206054 A206055 A206056 * A206058 A206059 A206060

Keyword

nonn

Author

R. H. Hardin Feb 03 2012

Status

approved