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Number of strings of numbers x(i=1..4) in 0..n with sum i*x(i)^2 equal to n*16
1

%I #5 Mar 31 2012 12:36:00

%S 2,5,5,10,14,15,14,28,23,46,36,41,49,64,62,82,82,86,110,163,92,128,

%T 145,132,196,198,138,215,217,259,231,304,210,312,333,290,353,435,283,

%U 555,404,361,455,532,477,606,551,481,511,888,477,743,709,591,813,772,664,924,818

%N Number of strings of numbers x(i=1..4) in 0..n with sum i*x(i)^2 equal to n*16

%C Row 4 of A184441

%H R. H. Hardin, <a href="/A184443/b184443.txt">Table of n, a(n) for n = 1..200</a>

%e All solutions for n=5

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2011