%I
%S 160,2853,23554,127813,529006,1807653,5349708,14150061,34190300,
%T 76678305,161533230,322614617,615330522,1127418361,1993875448,
%U 3417225641,5694545880,9252943437,14695473146,22859815485,34892402886,52341084797
%N Number of 4X4X4 triangular 0..n arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors
%C Row 4 of A214352
%H R. H. Hardin, <a href="/A214354/b214354.txt">Table of n, a(n) for n = 1..210</a>
%F 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
%e Some solutions for n=3
%e .....2........2........1........2........0........2........2........1
%e ....2.2......3.1......0.3......2.1......0.0......3.2......2.1......1.2
%e ...3.0.2....3.1.2....0.0.3....2.1.2....0.0.0....1.3.0....3.1.3....0.2.2
%e ..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
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 13 2012
