A215186 - OEIS

%I #4 Aug 05 2012 06:18:21

%S 2,48,328,3216,18940,102958,437416,1745476,6074164,19546414,57274236,

%T 158706286,408770608,1005752468,2347176012,5262852883,11312035800,

%U 23548549548,47322841540,92544936670,175876801036,326378292388

%N Number of 6X6X6 triangular 0..n arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value

%C Row 6 of A215182

%H R. H. Hardin, <a href="/A215186/b215186.txt">Table of n, a(n) for n = 1..85</a>

%e Some solutions for n=4

%e .......2............2............2............2............2............2

%e ......2.2..........1.3..........1.3..........2.2..........1.3..........2.2

%e .....1.2.3........1.2.3........1.2.3........0.2.4........1.2.3........1.2.3

%e ....1.1.3.3......1.2.2.3......0.2.2.4......0.2.2.4......0.2.3.3......0.2.2.4

%e ...1.1.2.2.4....1.1.2.3.3....0.1.2.3.4....0.1.1.4.4....0.2.2.3.3....0.2.2.2.4

%e ..0.1.2.2.3.4..0.1.2.3.3.3..0.0.1.3.4.4..0.2.2.2.2.4..0.2.2.2.2.4..0.1.1.3.3.4

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 05 2012