A214599 - OEIS

%I #4 Jul 22 2012 07:48:14

%S 2,2869211,63120962,5495329427,69920063852,971302214871,7427553264322,

%T 51611647496273,265462242006596,1257264229573585,4911963280790040,

%U 18044741780879451,57852506775385206,177133944592970795

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

%C Row 6 of A214595

%H R. H. Hardin, <a href="/A214599/b214599.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e .......1............1............1............1............1............1

%e ......0.2..........0.2..........0.2..........0.2..........0.2..........0.2

%e .....1.1.1........1.1.1........1.1.1........1.1.1........1.1.1........1.1.1

%e ....0.1.3.0......1.0.1.2......0.1.0.3......0.0.1.3......0.1.1.2......1.1.1.1

%e ...2.0.0.1.2....1.1.1.2.0....0.2.2.0.1....1.1.1.2.0....0.1.1.3.0....2.0.0.1.2

%e ..1.3.0.2.0.0..1.0.0.3.0.2..1.2.2.0.0.1..1.1.1.3.0.0..1.3.0.0.0.2..1.1.0.0.2.2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 22 2012