A204506 Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..2 introduced in row major order

652, 7344, 87869, 874124, 9306965, 100389366, 1060442883, 11271249888, 120052570303, 1275730046456, 13563758693425, 144255141981930, 1533811867037061, 16309155546072010, 173423544254444655

Offset

1,1

Comments

Column 1 of A204511

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -8*a(n-2) +184*a(n-3) -1610*a(n-4) +1016*a(n-5) -1186*a(n-6) +42250*a(n-7) -28003*a(n-8) -97163*a(n-9) -310078*a(n-10) +259130*a(n-11) +2103542*a(n-12) -1180456*a(n-13) -3192352*a(n-14) -10472484*a(n-15) +21487392*a(n-16) +17418200*a(n-17) -12454816*a(n-18) -27103840*a(n-19) -50486880*a(n-20) +33266176*a(n-21) +68955392*a(n-22) +21755136*a(n-23) -41044736*a(n-24) -44105216*a(n-25) +8871936*a(n-26) +14843904*a(n-27) +1474560*a(n-28)

Example

Some solutions for n=3
..0..0..0....0..0..0....0..0..0....0..1..2....0..0..0....0..0..0....0..0..0
..0..0..1....0..0..0....0..0..0....1..2..2....0..0..1....0..0..0....0..0..1
..1..1..0....0..0..0....0..0..0....2..2..2....1..0..0....0..0..0....2..1..0
..1..1..1....1..0..0....1..2..0....0..2..1....1..0..0....0..1..1....1..1..1
..1..1..0....0..2..2....2..1..0....2..0..1....1..2..0....0..2..2....0..1..2

Crossrefs

Sequence in context: A127030 A127031 A204511 * A282558 A204505 A350979

Adjacent sequences: A204503 A204504 A204505 * A204507 A204508 A204509

Keyword

nonn

Author

R. H. Hardin Jan 15 2012

Status

approved