A180799 Number of distinct solutions of sum{i=1..7}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1

1, 20, 270, 3000, 23282, 151473, 768541, 3422978, 12879078, 44111410, 133919379, 381516366, 988173838, 2446846672, 5633359713, 12527643860, 26226659375, 53655084387, 104124710377, 198817175068, 363133886202, 654527617329

Offset

1,2

Comments

Column 7 of A180803

Links

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

Example

Solutions for sum of products of 7 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*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 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 + 1*1 + 1*1)
(0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)

Crossrefs

Sequence in context: A019928 A025934 A283517 * A021594 A224248 A019793

Adjacent sequences: A180796 A180797 A180798 * A180800 A180801 A180802

Keyword

nonn

Author

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

Status

approved