A180822 Number of distinct solutions of sum{i=1..10}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 2..n-2.

0, 0, 0, 1, 18, 602, 13198, 258821, 3339823, 35591489, 290017026, 2017329742, 11651785764, 59635283471, 266728654773, 1087436395076, 4003448283180, 13715992117054, 43384915194642, 129627173525396, 363261462194622

Offset

1,5

Comments

Column 10 of A180823

Links

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

Example

Solutions for sum of products of 10 2..3 pairs = 0 (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 + 2*2 + 2*2 + 3*3)
(2*2 + 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 + 2*2 + 3*3 + 3*3 + 3*3)
(2*2 + 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 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3)
(2*2 + 2*2 + 2*2 + 2*2 + 2*3 + 2*3 + 2*3 + 2*3 + 2*3 + 3*3)
(2*2 + 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*2 + 3*3 + 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 + 3*3)
(2*2 + 2*2 + 2*2 + 3*3 + 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 + 3*3)
(2*2 + 2*2 + 3*3 + 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 + 3*3)
(2*2 + 3*3 + 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 + 2*3 + 2*3 + 2*3 + 2*3 + 2*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 + 3*3 + 3*3)

Crossrefs

Sequence in context: A341305 A253826 A061079 * A383775 A295369 A350984

Adjacent sequences: A180819 A180820 A180821 * A180823 A180824 A180825

Keyword

nonn

Author

R. H. Hardin, Sep 20 2010

Status

approved