A180797 Number of distinct solutions of sum{i=1..5}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1

1, 12, 87, 549, 2338, 9383, 28783, 85956, 213618, 518268, 1100399, 2370275, 4457359, 8595967, 15130785, 26913348, 43848123, 74308434, 114423976, 184270107, 274414305, 419987334, 601573248, 905711494, 1247825148, 1806542438

Offset

1,2

Comments

Column 5 of A180803

Links

R. H. Hardin, Table of n, a(n) for n=1..249

Example

Solutions for sum of products of 5 0..1 pairs = 0 (mod 2) are
(0*0 + 0*0 + 0*0 + 0*0 + 0*0) (0*0 + 0*0 + 0*0 + 0*0 + 0*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1) (0*0 + 0*0 + 0*0 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1) (0*0 + 0*0 + 0*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1) (0*0 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 1*1 + 1*1 + 1*1 + 1*1) (0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*1 + 0*1 + 0*1 + 1*1 + 1*1) (0*1 + 1*1 + 1*1 + 1*1 + 1*1)

Crossrefs

Sequence in context: A046023 A369421 A183721 * A137207 A206765 A228500

Adjacent sequences: A180794 A180795 A180796 * A180798 A180799 A180800

Keyword

nonn

Author

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

Status

approved