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Number of strings of numbers x(i=1..n) in 0..6 with sum i^3*x(i) equal to n^3*6
0

%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