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A180780 Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1 1

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

%S 0,0,22,499,9730,136491,1430727,11783122,78770456,443607864,

%T 2151608155,9218591346,35373572400,123749340262,398005623516,

%U 1192411118090,3344070542568,8869510553867,22304900540593,53635016669434

%N Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1

%C Column 9 of A180782

%H R. H. Hardin, <a href="/A180780/b180780.txt">Table of n, a(n) for n=1..183</a>

%e Solutions for sum of products of 9 1..2 pairs = 0 (mod 3) are

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*2 + 1*2 + 1*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*1 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2)

%e (1*1 + 1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*1 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 2*2)

%e (1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*1 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2)

%e (1*1 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*1 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

%e (1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2)

%e (1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2 + 2*2)

%e (1*2 + 1*2 + 1*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 + 2*2)

%K nonn

%O 1,3

%A _R. H. Hardin_ Sep 20 2010

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)