The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A318658 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A318658

Denominators of the sequence whose Dirichlet convolution with itself yields A087003, a(2n) = 0 and a(2n+1) = moebius(2n+1).
(history; published version)

#15 by N. J. A. Sloane at Sun Sep 23 21:31:23 EDT 2018

STATUS

proposed

approved

#14 by Antti Karttunen at Sat Sep 01 07:44:13 EDT 2018

STATUS

editing

proposed

#13 by Antti Karttunen at Sat Sep 01 07:44:08 EDT 2018

FORMULA

a(2n) = 1, a(2n-1) = A046644(2n-1) = A318512(2n-1), for all n >= 1.

STATUS

proposed

editing

#12 by Antti Karttunen at Sat Sep 01 06:45:02 EDT 2018

STATUS

editing

proposed

Discussion

Sat Sep 01

06:55

Antti Karttunen: Yes it is.

#11 by Antti Karttunen at Sat Sep 01 06:44:50 EDT 2018

CROSSREFS

Cf. A005187, A087003, A318657, (numerators), A318659.

STATUS

proposed

editing

#10 by Antti Karttunen at Sat Sep 01 06:39:42 EDT 2018

STATUS

editing

proposed

Discussion

Sat Sep 01

06:40

Antti Karttunen: (forgot that "frac" last time, so at least I added it).

06:44

Antti Karttunen: On the other hand, A318657 _seems to be_ multiplicative.

#9 by Antti Karttunen at Sat Sep 01 06:37:15 EDT 2018

FORMULA

Multiplicative with a(2) = 0, a(p^e) = 2^A005187(e) for odd primes p. - Antti Karttunen, Sep 01 2018

KEYWORD

nonn,frac,mult,new

Discussion

Sat Sep 01

06:39

Antti Karttunen: No, definitely it's not multiplicative, as a(6) != a(2)*a(3).

#8 by Antti Karttunen at Sat Sep 01 06:35:34 EDT 2018

FORMULA

Multiplicative with a(2) = 0, a(p^e) = 2^A005187(e) for odd primes p. - Antti Karttunen, Sep 01 2018

a(2n-1) = A046644(2n-1) = A318512(2n-1), for all n >= 1.

CROSSREFS

Cf. A005187, A087003, A318657, A318659.

KEYWORD

nonn,frac,mult,new

STATUS

approved

editing

#7 by Susanna Cuyler at Fri Aug 31 16:00:12 EDT 2018

STATUS

proposed

approved

#6 by Antti Karttunen at Fri Aug 31 15:19:50 EDT 2018

STATUS

editing

proposed