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A342653
a(n) = mu(A156552(n)), where mu is Möbius mu function.
2
1, -1, -1, 0, -1, 0, -1, 1, 0, 0, -1, 0, -1, 1, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 1, 1, 1, 0, 1, 0, -1, 1, 1, 0, 0, 0, -1, -1, 1, 0, -1, 0, -1, 1, 0, 0, -1, 0, 0, -1, -1, 0, -1, 0, -1, -1, 0, 0, -1, 0, 1, 1, 0, 0, 1, 0, 1, 1, -1, 0, 1, 0, 1, 1, 1, 0, 1, 0, -1, -1, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, -1, -1
OFFSET
2
FORMULA
a(n) = A008683(A156552(n)).
a(p) = 0 for primes p > 3.
PROG
(PARI)
A156552(n) = {my(f = factor(n), p, p2 = 1, res = 0); for(i = 1, #f~, p = 1 << (primepi(f[i, 1]) - 1); res += (p * p2 * (2^(f[i, 2]) - 1)); p2 <<= f[i, 2]); res};
A342653(n) = moebius(A156552(n));
CROSSREFS
Cf. also A323243, A324104, A324105, A324119, A342655 (sigma, phi, tau, omega and bigomega similarly permuted).
Sequence in context: A174897 A316441 A190938 * A189166 A092079 A342877
KEYWORD
sign
AUTHOR
Antti Karttunen, Mar 18 2021
STATUS
approved