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%I #5 Mar 31 2012 12:36:01
%S 1,1,2,3,6,39,209,947,4403,20825,95461,420312,1824610,7767715,
%T 32447127,133426790,540454735,2157136063,8491433827,32994222337,
%U 126618582468,480170037501,1800457116471,6678324836291,24515228772443,89097534819082
%N Number of strings of numbers x(i=1..n) in 0..5 with sum i*x(i)^3 equal to n*125
%C Column 5 of A184720
%H R. H. Hardin, <a href="/A184716/b184716.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=7
%e ..5....5....4....5....0....5....4....1....1....0....5....4....3....3....1....0
%e ..5....4....0....2....3....0....4....3....3....4....1....3....4....2....2....0
%e ..4....4....0....4....4....4....4....3....5....5....4....2....2....4....2....1
%e ..3....4....0....1....1....2....2....3....0....0....3....3....4....4....4....5
%e ..1....1....1....4....5....3....1....3....1....3....0....5....0....0....1....3
%e ..1....3....5....3....0....4....1....2....4....2....0....0....4....4....4....2
%e ..3....1....2....2....0....1....4....4....2....3....4....0....2....0....3....3
%K nonn
%O 1,3
%A _R. H. Hardin_ Jan 20 2011