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
Keywords
Examples
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
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
Comments