The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A292273 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A292273

For odd n: a(n) = 0, and for even n: a(n) = -mu(n), where mu is Moebius function (A008683).
(history; published version)

#24 by N. J. A. Sloane at Sat Jul 06 14:02:30 EDT 2024

STATUS

proposed

approved

#23 by Mats Granvik at Sat Jul 06 13:39:20 EDT 2024

STATUS

editing

proposed

#22 by Mats Granvik at Sat Jul 06 13:38:34 EDT 2024

FORMULA

Conjecture: a(n) = Re(A008683(n)*(i^n)). - _Mats Granvik_, Jul 06 2024

#21 by Mats Granvik at Sat Jul 06 13:38:08 EDT 2024

FORMULA

Conjecture: a(n) = Re(A008683(n)*(i^n)).

STATUS

approved

editing

#20 by Charles R Greathouse IV at Tue Oct 25 00:38:44 EDT 2022

STATUS

editing

approved

#19 by Charles R Greathouse IV at Tue Oct 25 00:38:42 EDT 2022

KEYWORD

sign,easy

STATUS

approved

editing

#18 by Susanna Cuyler at Thu Sep 14 18:18:27 EDT 2017

STATUS

proposed

approved

#17 by Antti Karttunen at Thu Sep 14 15:33:55 EDT 2017

STATUS

editing

proposed

#16 by Antti Karttunen at Thu Sep 14 15:32:52 EDT 2017

NAME

For odd n: a(n) = 0, and for even n: a(n) = -mu(n), where mu is moebius Moebius function (A008683).

COMMENTS

Sum of Mobius Möbius function values computed for terms of 3x+1 trajectory started at n, but excluding mu(n) itself. See Marc LeBrun's comment in A087003.

#15 by Antti Karttunen at Thu Sep 14 15:32:21 EDT 2017

CROSSREFS

Cf. A000035, A006370, A008683, A014682, A039956 (positions of nonzero terms), A087003.