A186547 1/8192 the number of (n+2)X3 0..3 arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace

0, 290, 2972, 168200, 3090668, 111188198, 2585394080, 78931270418, 2022581728964, 57893438838608, 1543873188898724, 43063896490838390, 1167248594013245504, 32220586362367051898, 879136485710121947756

Offset

1,2

Comments

Column 1 of A186553

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=32*a(n-1)-77*a(n-2)-4496*a(n-3)+117783*a(n-4)-1083636*a(n-5)+7006716*a(n-6)-23429520*a(n-7)+57318192*a(n-8)-54976320*a(n-9)+41990400*a(n-10)

Example

Some solutions for 4X3
..2..0..2....0..0..0....0..0..2....2..0..0....2..0..2....0..0..0....0..0..0
..2..0..3....2..1..3....2..2..2....3..0..3....0..0..3....1..2..2....0..2..1
..1..1..1....2..0..3....0..0..3....2..0..3....2..1..2....3..1..2....1..2..3
..1..0..0....3..2..2....3..0..3....2..3..2....1..3..3....1..2..2....1..3..3

Crossrefs

Sequence in context: A031712 A251049 A108881 * A237741 A335613 A369396

Adjacent sequences: A186544 A186545 A186546 * A186548 A186549 A186550

Keyword

nonn

Author

R. H. Hardin Feb 23 2011

Status

approved