A214909 - OEIS

%I #4 Jul 29 2012 08:19:22

%S 2,38,242,1802,7550,31412,100350,310079,811472,2065406,4695974,

%T 10458806,21370898,42897546,80938346,150245395,265231474,462690716,

%U 774729470,1283610082,2057355212,3266479406,5043183866,7727895633,11557992252

%N Number of 5X5X5 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value

%C Row 5 of A214906

%H R. H. Hardin, <a href="/A214909/b214909.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

%e ....2.2.2......0.3.3......1.2.3......1.1.4......2.2.2......1.1.4......1.2.3

%e ...1.1.3.3....1.1.3.3....0.1.3.4....1.1.3.3....0.2.3.3....0.1.3.4....0.2.2.4

%e ..1.1.2.3.3..0.1.2.3.4..0.0.2.4.4..1.2.2.2.3..0.2.2.3.3..1.1.2.3.3..0.1.1.4.4

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 29 2012