A206645 Number of nX3 0..2 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..2 introduced in row major order

4, 96, 1625, 30145, 545520, 9937823, 180716227, 3287842038, 59809329737, 1088032590151, 19792964824776, 360064977265607, 6550140544959199, 119157239793862758, 2167655337437946773, 39433019182323687619

Offset

1,1

Comments

Column 3 of A206650

Links

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

Formula

Empirical: a(n)=15*a(n-1)+66*a(n-2)-145*a(n-3)+13*a(n-4)-64*a(n-5)+156*a(n-6)-36*a(n-7)-8*a(n-9)-8*a(n-10)

Example

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

Crossrefs

Sequence in context: A204973 A204700 A267953 * A267907 A361965 A221148

Adjacent sequences: A206642 A206643 A206644 * A206646 A206647 A206648

Keyword

nonn

Author

R. H. Hardin Feb 11 2012

Status

approved