A180800 Number of distinct solutions of sum{i=1..8}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1

1, 25, 435, 6302, 63988, 526152, 3362296, 18294610, 83656074, 340334735, 1222011919, 4033921144, 12105114076, 34125015671, 89380952993, 223056939011, 524533055884, 1188931232028, 2564070855994, 5372508105333, 10797948228909

Offset

1,2

Comments

Column 8 of A180803

Links

R. H. Hardin, Table of n, a(n) for n=1..183

Example

Solutions for sum of products of 8 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*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)

Crossrefs

Sequence in context: A021704 A019742 A019722 * A004346 A021324 A092430

Adjacent sequences: A180797 A180798 A180799 * A180801 A180802 A180803

Keyword

nonn

Author

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

Status

approved