A164831 a(n) is the number of values taken by cos(2*Pi/k) mod n for all k in 1..n-1.

0, 1, 3, 4, 7, 12, 12, 19, 22, 29, 25, 40, 29, 48, 59, 85, 42, 83, 53, 93, 99, 96, 64, 175, 144, 113, 159, 161, 97, 235, 100, 297, 187, 165, 231, 274, 111, 200, 224, 386, 156, 398, 149, 303, 425, 248, 152, 733, 450, 513, 332, 359, 181, 572, 448, 648, 384, 361, 221, 786

Offset

1,3

Comments

See A164823 for explanatory comment and the definition of "cos(x) mod j".

Links

Christopher Hunt Gribble, Table of n, a(n) for n = 1..1000.

Crossrefs

Cf. A164822, A164823, A164846, A165252.

Sequence in context: A041781 A042893 A132111 * A085188 A286728 A300332

Adjacent sequences: A164828 A164829 A164830 * A164832 A164833 A164834

Keyword

nonn

Author

Christopher Hunt Gribble, Aug 27 2009

Extensions

Edited by N. J. A. Sloane, Sep 01 2009

Sequence corrected by Christopher Hunt Gribble, Sep 10 2009

Status

approved