A205470 Number of (n+1)X4 0..2 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order

175, 1548, 14639, 147129, 1504556, 15614579, 162976758, 1709130780, 17963198743, 189127385194, 1993106187666, 21019022873891, 221754001074914, 2340228495931166, 24701472352877203, 260760556151955406

Offset

1,1

Comments

Column 3 of A205475

Links

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

Formula

Empirical: a(n) = 20*a(n-1) -75*a(n-2) -688*a(n-3) +5022*a(n-4) -496*a(n-5) -63723*a(n-6) +111258*a(n-7) +251463*a(n-8) -817674*a(n-9) -9180*a(n-10) +2101200*a(n-11) -1759426*a(n-12) -1578136*a(n-13) +2839836*a(n-14) -596208*a(n-15) -1049272*a(n-16) +620728*a(n-17) +18624*a(n-18) -96072*a(n-19) +24528*a(n-20) -1728*a(n-21)

Example

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

Crossrefs

Sequence in context: A205748 A352109 A349674 * A187420 A186212 A355713

Adjacent sequences: A205467 A205468 A205469 * A205471 A205472 A205473

Keyword

nonn

Author

R. H. Hardin Jan 27 2012

Status

approved