A215181 - OEIS

%I #4 Aug 05 2012 06:12:50

%S 8,20,98,892,14826,437416,23336410,2146457038,337114516270,

%T 86918737933870,35883197315166396,22870097395707859964,

%U 22034812844398753721814,31171558939019307119162084

%N Number of nXnXn triangular 0..7 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 Column 7 of A215182

%H R. H. Hardin, <a href="/A215181/b215181.txt">Table of n, a(n) for n = 1..44</a>

%e Some solutions for n=4

%e .....4........6........3........6........3........4........3........3

%e ....3.5......6.6......2.4......6.6......1.5......4.4......3.3......3.3

%e ...3.4.5....6.6.6....2.2.5....6.6.6....0.4.5....2.3.7....2.3.4....0.4.5

%e ..2.3.5.6..4.6.7.7..0.1.4.7..6.6.6.6..0.1.5.6..1.3.5.7..0.1.5.6..0.2.3.7

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 05 2012