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Number of strings of numbers x(i=1..n) in 0..5 with sum i^3*x(i) equal to n^3*5
0

%I #4 Mar 31 2012 12:35:58

%S 1,1,2,4,10,41,135,477,1719,5987,20942,72586,245893,825328,2735778,

%T 8923167,28779207,91732303,288568276,898134715,2765300373,8421195140,

%U 25394904018,75848295457,224397367622,658053395498,1913298309395

%N Number of strings of numbers x(i=1..n) in 0..5 with sum i^3*x(i) equal to n^3*5

%C Column 5 of A184257

%e Some solutions for n=7

%e ..1....5....1....0....0....4....3....5....5....4....3....1....5....1....2....4

%e ..3....1....5....4....5....4....2....4....5....3....3....3....5....4....1....1

%e ..0....1....2....1....1....1....4....1....2....1....5....5....4....0....1....3

%e ..5....0....4....4....1....1....0....3....0....4....1....1....3....1....2....0

%e ..1....1....4....5....2....0....0....1....5....3....5....4....1....4....0....2

%e ..1....4....4....2....3....1....1....3....3....0....4....3....1....2....4....0

%e ..3....2....0....1....2....4....4....2....1....3....0....1....3....2....2....4

%K nonn

%O 1,3

%A _R. H. Hardin_ Jan 10 2011