A214535 Number of n X n X n triangular 0..3 arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value.

4, 8, 38, 344, 5360, 141470, 6042900, 420213820, 47817344852, 8897304579262

Offset

1,1

Comments

Column 3 of A214540.

Links

Table of n, a(n) for n=1..10.

Example

Some solutions for n=4
.....2........1........1........2........2........1........1........2
....2.2......1.1......1.1......1.3......2.2......1.1......0.2......2.2
...1.3.2....1.2.0....1.1.1....2.1.3....1.3.2....2.1.0....1.0.2....1.2.3
..3.0.3.2..1.2.1.0..2.1.1.0..3.0.2.3..0.3.3.2..0.3.0.1..2.0.0.2..2.0.3.3

Crossrefs

Cf. A214540.

Sequence in context: A032151 A032042 A032056 * A321717 A228755 A007215

Adjacent sequences: A214532 A214533 A214534 * A214536 A214537 A214538

Keyword

nonn

Author

R. H. Hardin, Jul 20 2012

Status

approved