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A180799 Number of distinct solutions of sum{i=1..7}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.

%I A180799 #6 Jun 02 2025 03:06:31
%S A180799 1,20,270,3000,23282,151473,768541,3422978,12879078,44111410,
%T A180799 133919379,381516366,988173838,2446846672,5633359713,12527643860,
%U A180799 26226659375,53655084387,104124710377,198817175068,363133886202,654527617329
%N A180799 Number of distinct solutions of sum{i=1..7}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.
%C A180799 Column 7 of A180803
%H A180799 R. H. Hardin, <a href="/A180799/b180799.txt">Table of n, a(n) for n=1..183</a>
%e A180799 Solutions for sum of products of 7 0..1 pairs = 0 (mod 2) are
%e A180799 (0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0)
%e A180799 (0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1)
%e A180799 (0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1)
%e A180799 (0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1)
%e A180799 (0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1)
%e A180799 (0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1)
%e A180799 (0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1)
%e A180799 (0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1)
%e A180799 (0*0 + 0*0 + 0*0 + 1*1 + 1*1 + 1*1 + 1*1)
%e A180799 (0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
%e A180799 (0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
%e A180799 (0*0 + 0*0 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
%e A180799 (0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
%e A180799 (0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
%e A180799 (0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
%e A180799 (0*0 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
%e A180799 (0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
%e A180799 (0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
%e A180799 (0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
%e A180799 (0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
%K A180799 nonn
%O A180799 1,2
%A A180799 _R. H. Hardin_, suggested by _Max Alekseyev_ in the Sequence Fans Mailing List, Sep 20 2010