A210408 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

864, 80496, 7380816, 677993552, 62266883792, 5718722907600, 525218223843536, 48237041019306960, 4430181461077005264, 406876281233712454096, 37368290575302443698896, 3431974791902387709770704

Offset

1,1

Comments

Column 3 of A210413

Links

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

Formula

Empirical: a(n) = 81*a(n-1) +1151*a(n-2) -13041*a(n-3) -117154*a(n-4) +478740*a(n-5) +445664*a(n-6) -2873152*a(n-7) +2422784*a(n-8) -196608*a(n-9)

Example

Some solutions for n=4
..0..0..0..0....0..0..0..1....0..0..0..0....0..0..1..0....0..0..1..1
..1..2..1..3....1..2..1..2....1..2..3..2....1..2..1..2....1..2..2..3
..1..0..0..1....2..0..1..3....2..0..2..0....0..0..1..0....3..0..3..0
..0..2..3..2....1..3..0..0....3..0..1..2....3..2..1..2....0..1..3..1
..1..1..0..3....1..0..2..3....3..2..3..1....0..0..3..1....3..2..1..0

Crossrefs

Sequence in context: A299220 A300034 A064321 * A299413 A300055 A082243

Adjacent sequences: A210405 A210406 A210407 * A210409 A210410 A210411

Keyword

nonn

Author

R. H. Hardin Mar 21 2012

Status

approved