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A214354 Number of 4X4X4 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors 1
160, 2853, 23554, 127813, 529006, 1807653, 5349708, 14150061, 34190300, 76678305, 161533230, 322614617, 615330522, 1127418361, 1993875448, 3417225641, 5694545880, 9252943437, 14695473146, 22859815485, 34892402886, 52341084797 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A214352

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = (109/226800)*n^10 + (1531/90720)*n^9 + (1471/6048)*n^8 + (28627/15120)*n^7 + (47321/5400)*n^6 + (107767/4320)*n^5 + (789913/18144)*n^4 + (127789/2835)*n^3 + (111121/4200)*n^2 + (5083/630)*n + 1

EXAMPLE

Some solutions for n=3

.....2........2........1........2........0........2........2........1

....2.2......3.1......0.3......2.1......0.0......3.2......2.1......1.2

...3.0.2....3.1.2....0.0.3....2.1.2....0.0.0....1.3.0....3.1.3....0.2.2

..3.0.2.1..3.0.2.1..0.0.3.1..3.0.2.2..1.0.0.3..1.3.0.1..3.0.3.1..0.1.3.2

CROSSREFS

Sequence in context: A013444 A013448 A234650 * A188306 A189351 A168527

Adjacent sequences:  A214351 A214352 A214353 * A214355 A214356 A214357

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 13 2012

STATUS

approved

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Last modified May 9 06:10 EDT 2021. Contains 343692 sequences. (Running on oeis4.)