A180777 Number of distinct solutions of sum{i=1..6}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1

0, 1, 12, 118, 995, 6518, 32893, 139369, 499659, 1599064, 4551225, 12014040, 29034510, 66658219, 142828285, 295240250, 576393604, 1098913338, 1993354080, 3560486370, 6091808112, 10312711744, 16796812703, 27247744649, 42564714900

Offset

1,3

Comments

Column 6 of A180782

Links

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

Example

Solutions for sum of products of 6 1..2 pairs = 0 (mod 3) are
(1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 1*1) (1*1 + 1*1 + 1*1 + 1*1 + 1*1 + 2*2)
(1*1 + 1*1 + 1*1 + 1*1 + 2*2 + 2*2) (1*1 + 1*1 + 1*1 + 1*2 + 1*2 + 1*2)
(1*1 + 1*1 + 1*1 + 2*2 + 2*2 + 2*2) (1*1 + 1*1 + 1*2 + 1*2 + 1*2 + 2*2)
(1*1 + 1*1 + 2*2 + 2*2 + 2*2 + 2*2) (1*1 + 1*2 + 1*2 + 1*2 + 2*2 + 2*2)
(1*1 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2) (1*2 + 1*2 + 1*2 + 1*2 + 1*2 + 1*2)
(1*2 + 1*2 + 1*2 + 2*2 + 2*2 + 2*2) (2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)

Crossrefs

Sequence in context: A154346 A016142 A105218 * A163950 A025132 A001712

Adjacent sequences: A180774 A180775 A180776 * A180778 A180779 A180780

Keyword

nonn

Author

R. H. Hardin Sep 20 2010

Status

approved