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%I #5 Mar 31 2012 12:36:01
%S 1,1,2,2,15,76,560,3604,24327,152952,925232,5495907,31966719,
%T 182331659,1021217701,5622236708,30456148470,162478306805,
%U 854327762047,4430787907798,22680031606293,114649453836280,572666511225162
%N Number of strings of numbers x(i=1..n) in 0..7 with sum i*x(i)^3 equal to n*343
%C Column 7 of A184720
%H R. H. Hardin, <a href="/A184718/b184718.txt">Table of n, a(n) for n = 1..28</a>
%e All solutions for n=5
%e ..0....5....2....3....5....0....3....5....4....7....0....3....7....0....0
%e ..6....7....5....6....7....7....1....1....5....4....3....7....0....2....0
%e ..6....6....7....5....0....7....7....3....2....5....3....1....0....4....0
%e ..5....4....3....4....6....0....2....7....7....6....5....6....7....7....0
%e ..3....0....4....5....2....0....5....3....1....1....6....3....0....3....7
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 20 2011