A262209 Inverse Mobius Transform of A002654.

1, 2, 1, 3, 3, 2, 1, 4, 2, 6, 1, 3, 3, 2, 3, 5, 3, 4, 1, 9, 1, 2, 1, 4, 6, 6, 2, 3, 3, 6, 1, 6, 1, 6, 3, 6, 3, 2, 3, 12, 3, 2, 1, 3, 6, 2, 1, 5, 2, 12, 3, 9, 3, 4, 3, 4, 1, 6, 1, 9, 3, 2, 2, 7, 9, 2, 1, 9, 1, 6, 1, 8, 3, 6, 6, 3, 1, 6, 1, 15, 3, 6, 1, 3, 9

Offset

1,2

Links

Table of n, a(n) for n=1..85.

Formula

Conjecture: multiplicative with a(p^e) = 1 if p=2; a(p^e) = 0 if e odd and p in A002145; a(p^e) = 1 if e even and p in A002145; a(p^e) = e+1 if p in A002144.

G.f.: Sum_{k>=1} tau(k)*x^k/(1 + x^(2*k)), where tau = A000005. - Ilya Gutkovskiy, Sep 14 2019

Crossrefs

Cf. A000005, A002144, A002145, A002654.

Sequence in context: A355255 A336692 A332434 * A324338 A047679 A179480

Adjacent sequences: A262206 A262207 A262208 * A262210 A262211 A262212

Keyword

nonn,mult,easy

Author

R. J. Mathar, Sep 15 2015

Status

approved