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A328925 a(n) = A002322(n)/A118106(n); write n = Product_{i=1..t} p_i^e_i, then a(n) = A002322(n)/(lcm_{1<=i,j<=t,i!=j} ord(p_i,p_j^e_j)), where ord(a,r) is the multiplicative order of a modulo r, and A002322 is the Carmichael lambda (usually written as psi). 2
1, 1, 2, 2, 4, 1, 6, 2, 6, 1, 10, 1, 12, 2, 1, 4, 16, 1, 18, 1, 1, 1, 22, 1, 20, 1, 18, 1, 28, 1, 30, 8, 1, 2, 1, 1, 36, 1, 4, 1, 40, 1, 42, 1, 1, 2, 46, 1, 42, 1, 1, 1, 52, 1, 4, 1, 1, 1, 58, 1, 60, 6, 1, 16, 3, 1, 66, 2, 1, 1, 70, 1, 72, 1, 1, 1, 1, 1, 78, 1, 54, 2, 82, 1, 1, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

It is easy to see that A118106(n) divides psi(n) = A002322(n).

If n = p^e for prime p, then A118106(p^e) = 1, so a(p^e) = A002322(p^e). The other n's such that a(n) > 1 are listed in A329062.

LINKS

Table of n, a(n) for n=1..87.

EXAMPLE

A002322(14) = 6, while A118106(14) = 3, so a(14) = 2.

PROG

(PARI) a(n) = A002322(n)/A118106(n) \\ See A002322 and A118106 for their programs

CROSSREFS

Cf. A002322, A118106, A328926 (indices of 1), A329062.

Sequence in context: A116588 A069922 A072211 * A299020 A343505 A070306

Adjacent sequences:  A328922 A328923 A328924 * A328926 A328927 A328928

KEYWORD

nonn

AUTHOR

Jianing Song, Oct 31 2019

STATUS

approved

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Last modified June 24 17:34 EDT 2021. Contains 345418 sequences. (Running on oeis4.)