A079872 signum(round(n^(1/Omega(n)))^Omega(n) - n), where Omega(n) is the total number of prime factors of n (A001222).

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

Offset

1,1

Comments

a(m) = 0 iff m is a prime power (A000961).

Links

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

Crossrefs

a(n)=A057427(A079869(n) - n).

Sequence in context: A379118 A215480 A143731 * A235046 A280046 A169672

Adjacent sequences: A079869 A079870 A079871 * A079873 A079874 A079875

Keyword

sign

Author

Reinhard Zumkeller, Jan 13 2003

Status

approved