A341517 a(n) = mu(A327859(n)), where mu is the Möbius function, A008683.

1, 1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 0, -1, -1, 1, 1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, -1, 0, -1, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0

Offset

0

Links

Antti Karttunen, Table of n, a(n) for n = 0..65537

Index entries for sequences related to primorial base

Formula

a(n) = A008683(A327859(n)) = A008683(A276086(A003415(n))).

For all n > 1, abs(a(n)) = [A328390(n)==1], where [ ] is the Iverson bracket.

a(p) = -1 for all primes p.

Prog

(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A327859(n) = A276086(A003415(n));
A341517(n) = moebius(A327859(n));

Crossrefs

Cf. A003415, A008683, A276086, A327859, A328390.

Absolute values give the characteristic function sequence for A341518.

Sequence in context: A271047 A054525 A174852 * A065333 A244611 A189289

Adjacent sequences: A341514 A341515 A341516 * A341518 A341519 A341520

Keyword

sign

Author

Antti Karttunen, Feb 28 2021

Status

approved