A180801 Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1

1, 30, 676, 12502, 163480, 1687310, 13449091, 89142751, 492505059, 2376231744, 10047650419, 38448350058, 133156230854, 427570371184, 1270967124805, 3561662099758, 9383313309748, 23597905122682, 56409558588283

Offset

1,2

Comments

Column 9 of A180803

Links

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

Example

Solutions for sum of products of 9 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*0 + 0*0 + 0*1)
(0*0 + 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 + 0*0 + 1*1 + 1*1)
(0*0 + 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*0 + 0*0 + 0*1 + 1*1 + 1*1)
(0*0 + 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*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 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*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 1*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 + 0*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*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 + 0*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 1*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 + 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 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*1 + 0*1 + 0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)
(0*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1)

Crossrefs

Sequence in context: A051563 A152499 A027475 * A035520 A122186 A166840

Adjacent sequences: A180798 A180799 A180800 * A180802 A180803 A180804

Keyword

nonn

Author

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

Status

approved