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Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^2 equal to n*49
1

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

%S 5,31,130,368,915,1993,3818,6805,11052,18352,28860,39870,61568,88347,

%T 109115,159804,215574,266628,362832,445236,541934,738893,903565,

%U 1011760,1295590,1650305,1800585,2280782,2748502,2923138,3779009,4358050,4724361

%N Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^2 equal to n*49

%C Row 7 of A184441

%H R. H. Hardin, <a href="/A184446/b184446.txt">Table of n, a(n) for n = 1..58</a>

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 14 2011