A180811 Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 1 (mod n), with x() in 0..n-1

0, 25, 666, 11900, 163438, 1652886, 13449080, 88130750, 492442470, 2357340087, 10047650020, 38205314077, 133156227170, 425294714200, 1270882760243, 3544701971008, 9383313284266, 23492592128799, 56409558569833

Offset

1,2

Comments

Column 9 of A180813

Links

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

Example

Solutions for sum of products of 9 0..1 pairs = 1 (mod 2) are
(0*0 + 0*0 + 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*0 + 0*0 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 1*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 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 1*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 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 1*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 + 1*1)
(0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1)
(0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1)
(0*1 + 0*1 + 0*1 + 0*1 + 1*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 + 1*1 + 1*1)

Crossrefs

Sequence in context: A153111 A361712 A097194 * A318183 A015697 A099365

Adjacent sequences: A180808 A180809 A180810 * A180812 A180813 A180814

Keyword

nonn

Author

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

Status

approved