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Number of strings of numbers x(i=1..6) in 0..n with sum i^3*x(i)^2 equal to 216*n^2
1

%I #5 Mar 31 2012 12:35:59

%S 2,2,5,5,11,24,29,31,74,111,150,193,264,361,415,553,663,917,1022,1214,

%T 1463,1873,2173,2507,2838,3573,4096,4444,5181,6115,6576,7384,8556,

%U 9946,10861,11542,13122,15468,16453,17094,19740,23128,24088,25460,27701,32214

%N Number of strings of numbers x(i=1..6) in 0..n with sum i^3*x(i)^2 equal to 216*n^2

%C Row 6 of A184303

%H R. H. Hardin, <a href="/A184307/b184307.txt">Table of n, a(n) for n = 1..80</a>

%e All solutions for n=5

%e ..4....4....4....0....4....4....4....0....0....0....4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 10 2011