A204359 Number of (n+2)X8 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

23912, 48226, 92286, 167480, 412860, 1006754, 2225410, 4825526, 10942334, 25492388, 58439276, 131852146, 298721620, 682683776, 1559009232, 3545167022, 8060117790, 18362399186, 41845749138, 95271124676, 216853176236

Offset

1,1

Comments

Column 6 of A204361

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -4*a(n-2) +5*a(n-3) +9*a(n-4) -31*a(n-5) +49*a(n-6) -59*a(n-7) +15*a(n-8) +54*a(n-9) -102*a(n-10) +110*a(n-11) -52*a(n-12) -25*a(n-13) +74*a(n-14) -77*a(n-15) +38*a(n-16) +2*a(n-17) -18*a(n-18) +17*a(n-19) -8*a(n-20) +a(n-21) for n>31

Example

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

Crossrefs

Sequence in context: A185991 A251904 A239177 * A224620 A263156 A263153

Adjacent sequences: A204356 A204357 A204358 * A204360 A204361 A204362

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved