A337910 Integers of the form (the number of nonnegative bases m < n such that m^3 == m (mod n))/(the number of nonnegative bases m < n such that -m^3 == m (mod n)).

1, 1, 3, 3, 1, 3, 3, 5, 3, 1, 3, 9, 1, 3, 3, 5, 1, 3, 3, 3, 9, 3, 3, 15, 1, 1, 3, 9, 1, 3, 3, 5, 9, 1, 3, 9, 1, 3, 3, 5, 1, 9, 3, 9, 3, 3, 3, 15, 3, 1, 3, 3, 1, 3, 3, 15, 9, 1, 3, 9, 1, 3, 9, 5, 1, 9, 3, 3, 9, 3, 3, 15, 1, 1, 3, 9, 9, 3, 3, 5, 3, 1, 3, 27, 1, 3, 3, 15, 1, 3, 3, 9, 9, 3, 3, 15

Offset

1,3

Comments

All members of a(n) are odd numbers. For n > 3, 1 <= a(n) < n.

Links

Table of n, a(n) for n=1..96.

Prog

(Magma) [#[m: m in [0..n-1] | m^3 mod n eq m]/#[m: m in [0..n-1] | -m^3 mod n eq m]: n in [1..96]];

Crossrefs

Cf. A026741, A008784, A002313, A002145, A334006.

Sequence in context: A083953 A066400 A125562 * A092040 A293866 A161200

Adjacent sequences: A337907 A337908 A337909 * A337911 A337912 A337913

Keyword

nonn,easy

Author

Juri-Stepan Gerasimov, Sep 29 2020

Status

approved