A180795 Number of distinct solutions of Sum_{i=1..3}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.

1, 6, 21, 68, 142, 355, 589, 1250, 1946, 3372, 4591, 8432, 10054, 16027, 21564, 31228, 35957, 56543, 61282, 92952, 107265, 139286, 154287, 234348, 238495, 313496, 362400, 469556, 476974, 690961, 660676, 896194, 964301, 1162662, 1252820

Offset: 1

Author

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

Keywords

• nonn

Examples

			Solutions for sum of products of 3 0..2 pairs = 0 (mod 3) are:
(0*0 + 0*0 + 0*0) (0*0 + 0*0 + 0*1) (0*0 + 0*0 + 0*2) (0*0 + 0*1 + 0*1)
(0*0 + 0*1 + 0*2) (0*0 + 0*2 + 0*2) (0*0 + 1*1 + 1*2) (0*0 + 1*2 + 2*2)
(0*1 + 0*1 + 0*1) (0*1 + 0*1 + 0*2) (0*1 + 0*2 + 0*2) (0*1 + 1*1 + 1*2)
(0*1 + 1*2 + 2*2) (0*2 + 0*2 + 0*2) (0*2 + 1*1 + 1*2) (0*2 + 1*2 + 2*2)
(1*1 + 1*1 + 1*1) (1*1 + 1*1 + 2*2) (1*1 + 2*2 + 2*2) (1*2 + 1*2 + 1*2)
(2*2 + 2*2 + 2*2)
		

Links

• R. H. Hardin, Table of n, a(n) for n=1..444

Crossrefs

Column 3 of A180803.