%I #5 Mar 31 2012 12:36:42
%S 2,22,46,206,214,70,496,2185,7215,19783,47458,102886,206061,386953,
%T 688784,1172655,1921632,3046700,4693133,7048602,10349707,14894334,
%U 21049108,29263715,40081693,54158684,72270348,95341262,124450340
%N Number of 0..n arrays x(0..6) of 7 elements with nondecreasing average value and 0..n occur with instance counts within one of each other
%C Row 7 of A200942
%H R. H. Hardin, <a href="/A200946/b200946.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=8
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....2....3....2....2....1....2....3....2....2....1....1....1....1....2....1
%e ..2....4....2....6....6....5....6....4....7....1....3....5....4....2....1....3
%e ..3....8....5....4....7....3....4....7....3....4....7....2....3....7....5....2
%e ..5....7....8....3....4....6....5....8....5....5....4....6....5....5....3....7
%e ..4....5....6....8....8....4....8....6....6....6....6....8....6....6....6....5
%e ..6....6....4....7....5....8....7....5....8....3....8....7....8....4....7....6
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 24 2011