A180809 Number of distinct solutions of sum{i=1..7}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1

0, 16, 264, 2768, 23256, 145098, 768537, 3329262, 12867751, 43149935, 133919155, 374105176, 988172550, 2405133108, 5629345146, 12325852092, 26226653125, 52794009238, 104124705338, 195815847774, 362865323820, 644935405583

Offset

1,2

Comments

Column 7 of A180813

Links

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

Example

Solutions for sum of products of 7 0..1 pairs = 1 (mod 2) are
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*1 + 0*1 + 0*1 + 0*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)

Crossrefs

Sequence in context: A302823 A303516 A240481 * A240633 A068770 A113359

Adjacent sequences: A180806 A180807 A180808 * A180810 A180811 A180812

Keyword

nonn

Author

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

Status

approved