A224348 Number of nX3 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

10, 100, 788, 5880, 45064, 349280, 2710892, 21021916, 163012744, 1264202660, 9804721360, 76042111360, 589756075600, 4573942739248, 35473931052816, 275123688202096, 2133765358334352, 16548755248130912, 128346493442546640

Offset

1,1

Comments

Column 3 of A224353

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -16*a(n-2) -24*a(n-3) +164*a(n-4) -516*a(n-5) +140*a(n-6) +956*a(n-7) -1500*a(n-8) +3180*a(n-9) +60*a(n-10)

Example

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

Crossrefs

Sequence in context: A366669 A293890 A218269 * A213298 A224007 A136876

Adjacent sequences: A224345 A224346 A224347 * A224349 A224350 A224351

Keyword

nonn

Author

R. H. Hardin Apr 04 2013

Status

approved