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A180793 T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 1..n-1.

%I A180793 #5 Jun 02 2025 03:06:02
%S A180793 0,0,1,0,0,2,0,1,1,2,0,0,3,4,3,0,1,7,14,9,2,0,0,5,30,46,19,4,0,1,9,64,
%T A180793 142,106,31,4,0,0,15,112,400,502,254,42,4,0,1,12,198,1004,1914,1519,
%U A180793 494,75,3,0,0,18,318,2282,6404,7589,3828,939,91,6,0,1,26,502,4868,19300
%N A180793 T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 1..n-1.
%C A180793 Table starts
%C A180793 .0..0....0.....0......0.......0........0........0.........0..........0
%C A180793 .1..0....1.....0......1.......0........1........0.........1..........0
%C A180793 .2..1....3.....7......5.......9.......15.......12........18.........26
%C A180793 .2..4...14....30.....64.....112......198......318.......502........744
%C A180793 .3..9...46...142....400....1004.....2282.....4868......9721......18475
%C A180793 .2.19..106...502...1914....6404....19300....53133....135902.....326446
%C A180793 .4.31..254..1519...7589...32890...126861...444019...1430707....4292149
%C A180793 .4.42..494..3828..24902..137528...670058..2935676..11752870...43506488
%C A180793 .4.75..939..9145..73134..499641..2997685.16112283..78770466..354466019
%C A180793 .3.91.1528.18966.188315.1579113.11539243.75118525.442714845.2391684440
%H A180793 R. H. Hardin, <a href="/A180793/b180793.txt">Table of n, a(n) for n=1..2016</a>
%K A180793 nonn,tabl
%O A180793 1,6
%A A180793 _R. H. Hardin_ Sep 20 2010