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%I #4 Mar 31 2012 12:35:58
%S 1,1,3,5,19,79,333,1393,5725,23408,94067,372806,1452902,5573547,
%T 21048926,78294082,286989576,1037232520,3698189056,13015198750,
%U 45236281727,155352127515,527417864879,1770921102747
%N Number of strings of numbers x(i=1..n) in 0..6 with sum i^3*x(i) equal to n^3*6
%C Column 6 of A184257
%e Some solutions for n=5
%e ..3....2....0....1....6....6....1....4....2....5....4....3....4....3....0....0
%e ..4....4....6....5....1....4....2....5....2....2....0....6....3....1....0....1
%e ..3....1....5....3....4....3....4....3....6....6....2....5....1....4....0....4
%e ..6....1....3....2....2....4....0....0....5....3....3....1....5....4....0....6
%e ..2....5....3....4....4....3....5....5....2....3....4....4....3....3....6....2
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 10 2011