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A180832 Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2 1

%I #3 Mar 31 2012 12:35:46

%S 0,0,0,0,15,263,6946,95702,1113010,9143911,64448228,363369141,

%T 1820591529,7808981077,30658462967,107320405217,351179673988,

%U 1052229547028,2992063116924,7932504265966,20180975666040,48485253590942

%N Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2

%C Column 9 of A180834

%H R. H. Hardin, <a href="/A180832/b180832.txt">Table of n, a(n) for n=1..183</a>

%e Solutions for sum of products of 9 2..3 pairs = 1 (mod 5) are

%e (2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3)

%e (2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3)

%e (2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3)

%e (2*2 + 2*2 + 2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3)

%e (2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3)

%e (2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)

%e (2*2 + 2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3)

%e (2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)

%e (2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3 + 3*3)

%e (2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)

%e (2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3 + 3*3 + 3*3)

%e (2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)

%e (2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3 + 3*3 + 3*3 + 3*3)

%e (3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)

%K nonn

%O 1,5

%A _R. H. Hardin_ Sep 20 2010

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