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A180802 Number of distinct solutions of sum{i=1..10}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.

Original entry on oeis.org

1, 36, 1011, 23616, 392306, 5046199, 49761514, 400327073, 2659219164, 15184890632, 75357374180, 334037161778, 1331562272672, 4868728554980, 16394472384961, 51588287771056, 152009675182148, 424312447889136
Offset: 1

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Author

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

Keywords

Comments

Column 10 of A180803

Examples

			Solutions for sum of products of 10 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*0 + 0*0 + 0*1)
(0*0 + 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 + 0*0 + 1*1 + 1*1)
(0*0 + 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*0 + 0*1 + 1*1 + 1*1)
(0*0 + 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*0 + 0*0 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 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*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 0*1)
(0*0 + 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 + 1*1 + 1*1 + 1*1 + 1*1)
(0*0 + 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*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 1*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 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 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 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 1*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 + 1*1)
(0*0 + 0*0 + 0*1 + 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 + 0*1 + 1*1 + 1*1)
(0*0 + 0*0 + 0*1 + 0*1 + 0*1 + 0*1 + 1*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 + 1*1)
(0*0 + 0*0 + 1*1 + 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 + 0*1 + 0*1)
(0*0 + 0*1 + 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 + 0*1 + 1*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 + 1*1)
(0*0 + 0*1 + 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 + 0*1 + 0*1 + 1*1 + 1*1)
(0*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 + 0*1 + 1*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 + 1*1 + 1*1)

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