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A262209 Inverse Mobius Transform of A002654. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A071463 A308530 A302555 * A324338 A047679 A179480

Adjacent sequences:  A262206 A262207 A262208 * A262210 A262211 A262212

KEYWORD

nonn,mult,easy,changed

AUTHOR

R. J. Mathar, Sep 15 2015

STATUS

approved

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Last modified September 21 07:08 EDT 2019. Contains 327253 sequences. (Running on oeis4.)