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A214355 Number of 5X5X5 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors 1
1386, 80573, 1602092, 17790765, 135538054, 790197579, 3766437036, 15329961031, 54922753470, 177082458729, 522464071332, 1428914669655, 3659885495134, 8851607656183, 20351858523224, 44735107468453, 94449669596498 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 22 03:15 EDT 2021. Contains 345367 sequences. (Running on oeis4.)