A205831 Number of (n+1) X 4 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to two.

423, 3642, 32106, 284910, 2531223, 22488006, 199775148, 1774684842, 15765175170, 140047755324, 1244095016967, 11051748079860, 98176695538581, 872139276184362, 7747530234577809, 68824127481596856, 611389743559128132

Offset

1,1

Comments

Column 3 of A205836.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -56*a(n-2) +103*a(n-3) -85*a(n-4) +23*a(n-5) -19*a(n-6) -16*a(n-7) +a(n-8) -a(n-9).

Example

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

Crossrefs

Cf. A205836.

Sequence in context: A096024 A205980 A206662 * A206408 A238174 A251013

Adjacent sequences: A205828 A205829 A205830 * A205832 A205833 A205834

Keyword

nonn

Author

R. H. Hardin, Feb 01 2012

Status

approved