A214910 - OEIS

%I #4 Jul 29 2012 08:20:06

%S 2,146,1682,29162,210914,1563440,8156190,40258709,158198222,595338230,

%T 1928269526,6018440390,16759097486,45277885958,112522145318,

%U 272384422903,616484632830,1366517073926,2868519969642,5914643033078,11661558993698

%N Number of 6X6X6 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value

%C Row 6 of A214906

%H R. H. Hardin, <a href="/A214910/b214910.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e .......2............2............2............2............3............1

%e ......2.2..........1.3..........0.4..........1.3..........2.4..........0.2

%e .....1.1.4........0.3.3........1.2.3........1.2.3........2.3.4........1.1.1

%e ....0.1.3.4......2.2.2.2......0.1.3.4......1.2.2.3......0.4.4.4......0.1.1.2

%e ...0.1.3.3.3....2.2.2.2.2....2.2.2.2.2....0.1.1.4.4....1.3.3.4.4....0.0.1.2.2

%e ..0.1.1.3.3.4..2.2.2.2.2.2..0.0.2.2.4.4..0.0.2.2.4.4..1.2.3.4.4.4..0.0.0.2.2.2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 29 2012