%I #5 Mar 31 2012 12:35:58
%S 1,1,3,8,33,152,739,3504,16444,76185,346668,1550082,6808688,29379874,
%T 124602206,519645017,2132308133,8614314587,34283560541,134495527119,
%U 520403471407,1987131598697,7492030264125,27904847289161,102725012942213
%N Number of strings of numbers x(i=1..n) in 0..7 with sum i^3*x(i) equal to n^3*7
%C Column 7 of A184257
%H R. H. Hardin, <a href="/A184255/b184255.txt">Table of n, a(n) for n = 1..28</a>
%e Some solutions for n=5
%e ..1....4....7....6....7....5....1....3....0....6....3....0....1....6....7....5
%e ..0....6....6....1....6....7....5....4....1....7....6....3....2....4....0....2
%e ..2....0....7....4....0....0....3....3....4....2....5....6....4....3....2....6
%e ..5....7....4....2....5....1....2....6....6....6....1....1....0....4....1....3
%e ..4....3....3....5....4....6....5....3....3....3....5....5....6....4....6....4
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 10 2011