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Number of strings of numbers x(i=1..8) in 0..n with sum i^2*x(i)^2 equal to n^2*64
1

%I #7 Mar 31 2012 12:35:58

%S 1,7,36,119,356,962,2108,3719,6688,13801,22721,31805,53339,85156,

%T 116609,170040,238737,320840,472344,605257,737793,1090166,1402987,

%U 1569629,2180697,2805865,3201284,4201109,5157244,5875951,7814021,9055272,9955491

%N Number of strings of numbers x(i=1..8) in 0..n with sum i^2*x(i)^2 equal to n^2*64

%C Row 8 of A184240

%H R. H. Hardin, <a href="/A184246/b184246.txt">Table of n, a(n) for n = 1..43</a>

%e Some solutions for n=5

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 10 2011