A214543 Number of 5 X 5 X 5 triangular 0..n 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.

2, 1007, 5360, 35567, 155102, 562559, 1786114, 4984385, 12779966, 30245569, 67041880, 140742983, 281169008, 538998923, 995176292, 1777352885, 3082346868, 5202996925, 8574228434, 13820760479, 21832252746, 33858093487, 51616202234

Offset: 1

Author

R. H. Hardin, Jul 20 2012

Keywords

• nonn

Comments

Row 5 of A214540.

Examples

			Some solutions for n=4
......2..........2..........2..........2..........2..........2..........3
.....2.2........2.2........3.1........1.3........2.2........1.3........3.3
....2.2.2......2.2.2......2.3.1......1.2.3......4.2.0......1.3.2......3.3.3
...2.1.2.3....3.0.2.3....0.3.4.1....1.2.2.3....4.2.0.2....1.3.1.3....4.1.3.4
..0.3.1.3.3..1.4.0.4.1..1.0.4.1.4..0.2.2.4.2..4.3.1.0.2..1.2.4.0.3..4.4.1.4.2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..25

Crossrefs

Cf. A214540.