A204487 Number of (n+2)X5 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order

610, 1189, 2547, 5407, 11331, 23851, 50897, 109489, 236402, 512911, 1118772, 2440948, 5333293, 11686972, 25595013, 56075719, 123070849, 269926981, 592042603, 1300024973, 2853037552, 6260804838, 13749466588, 30182600469

Offset

1,1

Comments

Column 3 of A204492

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +9*a(n-3) -5*a(n-4) -10*a(n-5) -7*a(n-6) -20*a(n-7) +20*a(n-8) -15*a(n-9) +48*a(n-10) -10*a(n-11) +20*a(n-12) -21*a(n-13) -5*a(n-14) -6*a(n-15) -3*a(n-16) +4*a(n-17) for n>25

Example

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

Crossrefs

Sequence in context: A263393 A137563 A301561 * A090177 A120719 A045730

Adjacent sequences: A204484 A204485 A204486 * A204488 A204489 A204490

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved