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A180782 T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.

%I A180782 #5 Jun 02 2025 03:05:11
%S A180782 0,0,0,0,1,0,0,0,2,1,0,1,5,6,0,0,0,3,14,13,2,0,1,7,34,42,23,0,0,0,12,
%T A180782 62,145,119,36,3,0,1,9,118,402,522,253,62,3,0,0,15,198,995,1960,1518,
%U A180782 526,78,4,0,1,22,327,2294,6518,7587,4041,944,123,0,0,0,18,499,4856,19467,32893
%N A180782 T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.
%C A180782 Table starts
%C A180782 .0...0....0.....0......0.......0........0........0.........0..........0
%C A180782 .0...1....0.....1......0.......1........0........1.........0..........1
%C A180782 .0...2....5.....3......7......12........9.......15........22.........18
%C A180782 .1...6...14....34.....62.....118......198......327.......499........756
%C A180782 .0..13...42...145....402.....995.....2294.....4856......9730......18478
%C A180782 .2..23..119...522...1960....6518....19467....53455....136491.....327338
%C A180782 .0..36..253..1518...7587...32893...126864...444003...1430727....4292145
%C A180782 .3..62..526..4041..25470..139369...674922..2948305..11783122...43576141
%C A180782 .3..78..944..9150..73146..499659..2997717.16112289..78770456..354466005
%C A180782 .4.123.1702.19970.193036.1599064.11615754.75389116.443607864.2394458182
%H A180782 R. H. Hardin, <a href="/A180782/b180782.txt">Table of n, a(n) for n=1..2016</a>
%K A180782 nonn,tabl
%O A180782 1,9
%A A180782 _R. H. Hardin_ Sep 20 2010