A205266 Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order

223, 1606, 11553, 82991, 596414, 4285989, 30799890, 221334561, 1590556222, 11430067537, 82138844381, 590266825510, 4241780221403, 30482315247698, 219052259713035, 1574155115721354, 11312206190476013, 81291867375432163

Offset

1,1

Comments

Column 1 of A205273

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +5*a(n-2) +26*a(n-3) -6*a(n-4) +14*a(n-5) -44*a(n-6) +23*a(n-7) +10*a(n-8) -15*a(n-9) -12*a(n-10) -12*a(n-11)

Example

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

Crossrefs

Sequence in context: A158226 A253953 A205273 * A152834 A139233 A205265

Adjacent sequences: A205263 A205264 A205265 * A205267 A205268 A205269

Keyword

nonn

Author

R. H. Hardin Jan 24 2012

Status

approved