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A214386 Number of 4X4X4 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 1
16, 890, 11048, 74260, 350232, 1305392, 4107248, 11363940, 28412824, 65439858, 140806952, 286079040, 553378176, 1025850192, 1832212128, 3166557496, 5314833216, 8689668506, 13875533864, 21686539292, 33239546824, 50045674976 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A214384

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..163

FORMULA

Empirical: a(n) = (109/226800)*n^10 + (1531/90720)*n^9 + (6911/30240)*n^8 + (4553/3024)*n^7 + (27071/5400)*n^6 + (34159/4320)*n^5 + (409217/90720)*n^4 - (4937/4536)*n^3 - (22087/12600)*n^2 - (43/126)*n

EXAMPLE

Some solutions for n=3

.....3........2........2........2........2........3........2........2

....3.2......1.2......3.0......2.3......2.1......2.3......0.2......1.2

...1.3.0....0.1.2....3.2.0....0.3.2....2.1.2....1.3.0....0.1.2....0.3.2

..0.1.3.0..1.0.3.2..3.0.3.0..0.1.3.1..2.0.1.3..0.3.0.2..0.2.1.2..0.2.3.0

CROSSREFS

Sequence in context: A145243 A264125 A272468 * A185561 A283946 A289707

Adjacent sequences:  A214383 A214384 A214385 * A214387 A214388 A214389

KEYWORD

nonn

AUTHOR

R. H. Hardin Jul 14 2012

STATUS

approved

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Last modified August 17 03:53 EDT 2022. Contains 356184 sequences. (Running on oeis4.)