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Number of strings of numbers x(i=1..n) in 0..5 with sum i^3*x(i)^2 equal to n^3*25
0

%I #4 Mar 31 2012 12:35:59

%S 1,1,1,2,1,11,21,167,616,2308,7792,42090,164290,733278,2785855,

%T 13613231,54109235,230492863,899895753,3997708404,16033421220

%N Number of strings of numbers x(i=1..n) in 0..5 with sum i^3*x(i)^2 equal to n^3*25

%C Column 5 of A184303

%e Some solutions for n=7

%e ..0....4....4....2....2....4....4....4....0....4....5....4....2....4....4....2

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

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

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

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

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

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

%K nonn

%O 1,4

%A _R. H. Hardin_ Jan 10 2011