A214355 Number of 5X5X5 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors

1386, 80573, 1602092, 17790765, 135538054, 790197579, 3766437036, 15329961031, 54922753470, 177082458729, 522464071332, 1428914669655, 3659885495134, 8851607656183, 20351858523224, 44735107468453, 94449669596498

Offset

1,1

Comments

Row 5 of A214352

Links

R. H. Hardin, Table of n, a(n) for n = 1..64

Formula

Empirical: a(n) = (250321/163459296000)*n^15 + (57931/605404800)*n^14 + (6130183/2335132800)*n^13 + (5021701/119750400)*n^12 + (12225673/28066500)*n^11 + (33845911/10886400)*n^10 + (1793738911/114307200)*n^9 + (1441174417/25401600)*n^8 + (3431403169/23328000)*n^7 + (2949422359/10886400)*n^6 + (31221432373/89812800)*n^5 + (4515147647/14968800)*n^4 + (193448384201/1135134000)*n^3 + (4506398063/75675600)*n^2 + (2113313/180180)*n + 1

Example

Some solutions for n=2
......2..........2..........1..........1..........2..........1..........1
.....2.1........1.2........1.2........0.2........2.1........2.0........1.0
....2.2.1......0.2.1......1.2.2......0.1.2......2.1.0......2.2.0......2.1.0
...0.2.0.2....0.2.0.2....1.2.2.2....1.0.2.1....2.1.0.1....2.2.0.2....0.2.0.1
..1.0.2.0.2..0.1.2.0.2..1.2.2.2.1..0.1.0.2.1..2.0.2.0.1..2.2.0.1.2..1.0.2.0.1

Crossrefs

Sequence in context: A023090 A236823 A092721 * A230334 A295435 A200315

Adjacent sequences: A214352 A214353 A214354 * A214356 A214357 A214358

Keyword

nonn

Author

R. H. Hardin Jul 13 2012

Status

approved