A210102 Number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock having one or three distinct values, and new values 0..2 introduced in row major order.

135, 1690, 20687, 254314, 3125615, 38420586, 472285295, 5805666474, 71367850223, 877312746218, 10784669050991, 132574332967466, 1629716962468079, 20033875365546602, 246273549489277551, 3027405397881918378

Offset

1,1

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -46*a(n-2) -190*a(n-3) +523*a(n-4) +341*a(n-5) -1220*a(n-6) +184*a(n-7) +488*a(n-8) -96*a(n-9).

Example

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

Crossrefs

Column 3 of A210107.

Sequence in context: A358002 A157734 A334128 * A061073 A195671 A332428

Adjacent sequences: A210099 A210100 A210101 * A210103 A210104 A210105

Keyword

nonn

Author

R. H. Hardin, Mar 17 2012

Status

approved