A214387 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 no element equal to its horizontal neighbors.

32, 11700, 445024, 6981540, 65905056, 444106514, 2347567992, 10319444960, 39220393240, 132463100966, 405642373936, 1143607220512, 3003599167616, 7418663549468, 17363308642608, 38750311281936, 82891561168528

Offset: 1

Author

R. H. Hardin, Jul 14 2012

Keywords

• nonn

Comments

Row 5 of A214384.

Examples

			Some solutions for n=3
......0..........0..........2..........0..........0..........0..........0
.....2.0........0.1........1.2........0.2........0.3........0.2........0.2
....3.0.2......2.0.2......0.2.1......3.0.2......1.0.3......0.1.2......0.3.1
...1.3.0.2....2.1.0.2....0.1.3.1....3.0.3.2....1.0.2.3....0.1.0.2....3.0.3.1
..0.3.2.0.2..0.3.1.0.2..0.1.3.2.0..1.3.0.3.2..1.2.0.3.0..0.2.0.2.1..3.0.3.0.2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..33

Crossrefs

Cf. A214384.

Formula

Empirical: a(n) = (250321/163459296000)*n^15 + (57931/605404800)*n^14 + (5905981/2335132800)*n^13 + (63247/1710720)*n^12 + (294798431/898128000)*n^11 + (9968141/5443200)*n^10 + (367113701/57153600)*n^9 + (34853713/2540160)*n^8 + (2644103053/163296000)*n^7 + (1285847/194400)*n^6 - (1094962783/179625600)*n^5 - (22292609/2993760)*n^4 - (316949617/252252000)*n^3 + (47012731/37837800)*n^2 + (3659/9009)*n.