A215187 - OEIS

%I #4 Aug 05 2012 06:19:08

%S 2,141,1584,36645,364970,3332921,23336410,143644981,756744936,

%T 3562883365,15019874686,58119516961,206862317720,687315946713,

%U 2141261136428,6308361172196,17640556864702,47119051969326,120551657307564

%N Number of 7X7X7 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 7 of A215182

%H R. H. Hardin, <a href="/A215187/b215187.txt">Table of n, a(n) for n = 1..62</a>

%e Some solutions for n=4

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

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

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

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

%e ....0.1.2.3.4......1.1.2.3.3......0.0.2.4.4......1.1.1.3.4......0.2.2.2.4

%e ...0.1.1.2.4.4....1.1.2.2.2.4....0.1.2.2.3.4....0.0.0.4.4.4....0.0.2.3.3.4

%e ..0.1.1.2.2.4.4..0.1.1.1.3.4.4..0.1.2.2.2.3.4..0.0.1.3.3.3.4..0.0.0.3.3.4.4

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 05 2012