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

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

%S 1,1,5,14,101,715,3818,19257,109623,541179,2588583,12533674,57289175,

%T 255004484,1117915131,4748188269,19711864941,80293980695,319810672333,

%U 1249298852482,4793924733547,18065184325915,66940461343250

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

%C Column 7 of A184441

%H R. H. Hardin, <a href="/A184439/b184439.txt">Table of n, a(n) for n = 1..53</a>

%e Some solutions for n=5

%e ..4....6....2....6....1....7....3....5....4....0....2....6....2....6....0....3

%e ..7....2....0....5....0....0....2....4....6....3....5....7....6....7....5....6

%e ..5....0....0....5....4....0....1....7....2....7....5....5....6....3....5....0

%e ..3....7....7....1....2....7....5....3....5....0....3....3....2....1....5....6

%e ..2....1....3....4....6....0....5....1....3....4....4....0....3....4....2....2

%K nonn

%O 1,3

%A _R. H. Hardin_ Jan 14 2011