A214539 Number of n X n X n triangular 0..7 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.

8, 32, 418, 16752, 1786114, 481650122, 323258584792

Offset

1,1

Links

Table of n, a(n) for n=1..7.

Example

Some solutions for n=4:
.....4........3........3........3........2........4........5........3
....6.2......5.1......2.4......3.3......3.1......3.5......5.5......1.5
...3.7.2....5.1.3....3.0.6....5.3.1....3.0.3....5.2.5....4.5.6....1.3.5
..1.6.7.2..7.1.1.3..4.1.0.7..1.7.1.3..4.0.1.3..5.3.2.6..7.3.6.4..0.4.2.6

Crossrefs

Column 7 of A214540.

Sequence in context: A034193 A159277 A382024 * A140789 A120781 A288454

Adjacent sequences: A214536 A214537 A214538 * A214540 A214541 A214542

Keyword

nonn,more

Author

R. H. Hardin, Jul 20 2012

Status

approved