A180803 T(n,k)=number of distinct solutions to sum{i=1..k}(x(2i-1)*x(2i)) == 0 (mod n), with x() in 0..n-1.

1, 1, 2, 1, 4, 3, 1, 6, 8, 5, 1, 9, 21, 20, 5, 1, 12, 45, 68, 28, 8, 1, 16, 87, 205, 142, 56, 7, 1, 20, 159, 549, 620, 355, 64, 11, 1, 25, 270, 1336, 2338, 1957, 589, 122, 12, 1, 30, 435, 3000, 7770, 9383, 4507, 1250, 150, 14, 1, 36, 676, 6302, 23282, 39768, 28783, 11171

Offset: 1

Author

R. H. Hardin, suggested by Max Alekseyev in the Sequence Fans Mailing List, Sep 20 2010

Keywords

• nonn
• tabl

Comments

Table starts

..1...1....1.....1......1.......1........1.........1..........1...........1

..2...4....6.....9.....12......16.......20........25.........30..........36

..3...8...21....45.....87.....159......270.......435........676........1011

..5..20...68...205....549....1336.....3000......6302......12502.......23616

..5..28..142...620...2338....7770....23282.....63988.....163480......392306

..8..56..355..1957...9383...39768...151473....526152....1687310.....5046199

..7..64..589..4507..28783..158242...768541...3362296...13449091....49761514

.11.122.1250.11171..85956..576277..3422978..18294610...89142751...400327073

.12.150.1946.22146.213618.1770957.12879078..83656074..492505059..2659219164

.14.218.3372.45350.518268.5103172.44111410.340334735.2376231744.15184890632

Links

• R. H. Hardin, Table of n, a(n) for n=1..2016