A180832 Number of distinct solutions of sum{i=1..9}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2

0, 0, 0, 0, 15, 263, 6946, 95702, 1113010, 9143911, 64448228, 363369141, 1820591529, 7808981077, 30658462967, 107320405217, 351179673988, 1052229547028, 2992063116924, 7932504265966, 20180975666040, 48485253590942

Offset

1,5

Comments

Column 9 of A180834

Links

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

Example

Solutions for sum of products of 9 2..3 pairs = 1 (mod 5) are
(2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2)
(2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3)
(2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3)
(2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3)
(2*2 + 2*2 + 2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3)
(2*2 + 2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3)
(2*2 + 2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)
(2*2 + 2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3)
(2*2 + 2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)
(2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3 + 3*3)
(2*2 + 2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)
(2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3 + 3*3 + 3*3)
(2*2 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)
(2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3 + 3*3 + 3*3 + 3*3)
(3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3 + 3*3)

Crossrefs

Sequence in context: A099273 A206230 A209263 * A361185 A013381 A013384

Adjacent sequences: A180829 A180830 A180831 * A180833 A180834 A180835

Keyword

nonn

Author

R. H. Hardin Sep 20 2010

Status

approved