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

1,1

Comments

Row 5 of A214384.

Links

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

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.

Example

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

Crossrefs

Cf. A214384.

Sequence in context: A241369 A004147 A212800 * A069444 A280100 A187240

Adjacent sequences: A214384 A214385 A214386 * A214388 A214389 A214390

Keyword

nonn

Author

R. H. Hardin, Jul 14 2012

Status

approved