A204357 Number of (n+2)X6 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order

2399, 5812, 13721, 29977, 71465, 167480, 383714, 876140, 2033788, 4673032, 10736162, 24701276, 57041826, 131340438, 302246188, 695792018, 1603376912, 3692734666, 8503229146, 19580355046, 45098375114, 103863371934, 239194175448

Offset

1,1

Comments

Column 4 of A204361

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +15*a(n-4) -5*a(n-5) -7*a(n-6) +10*a(n-7) -59*a(n-8) +8*a(n-9) +45*a(n-10) -48*a(n-11) +83*a(n-12) +13*a(n-13) -81*a(n-14) +56*a(n-15) -59*a(n-16) -24*a(n-17) +68*a(n-18) -21*a(n-19) +13*a(n-20) +9*a(n-21) -18*a(n-22) +a(n-23) for n>31

Example

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

Crossrefs

Sequence in context: A323341 A108055 A286342 * A043420 A233880 A234453

Adjacent sequences: A204354 A204355 A204356 * A204358 A204359 A204360

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved