The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A154269 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A154269

Dirichlet inverse of A019590; Fully multiplicative with a(2^e) = (-1)^e, a(p^e) = 0 for odd primes p.
(history; published version)

#30 by Alois P. Heinz at Sun Feb 18 10:28:51 EST 2024

STATUS

editing

approved

#29 by Alois P. Heinz at Sun Feb 18 10:28:47 EST 2024

MAPLE

a:= n-> (p-> `if`(2^p=n, (-1)^p, 0))(ilog2(n)):

seq(a(n), n=1..95); # Alois P. Heinz, Feb 18 2024

STATUS

approved

editing

#28 by OEIS Server at Mon Jul 24 11:38:48 EDT 2017

LINKS

Mats Granvik (first 220 terms) & Antti Karttunen, <a href="/A154269/b154269_1.txt">Table of n, a(n) for n = 1..65536</a>

#27 by N. J. A. Sloane at Mon Jul 24 11:38:48 EDT 2017

STATUS

proposed

approved

Discussion

Mon Jul 24

11:38

OEIS Server: Installed new b-file as b154269.txt.  Old b-file is now b154269_1.txt.

#26 by Mats Granvik at Mon Jul 24 09:01:22 EDT 2017

STATUS

editing

proposed

#25 by Mats Granvik at Mon Jul 24 09:01:11 EDT 2017

MATHEMATICA

nn = 95; a = PadRight[{1, 1}, nn, 0]; Inverse[Table[Table[If[Mod[n, k] == 0, a[[n/k]], 0], {k, 1, nn}], {n, 1, nn}]][[All, 1]] (* Mats Granvik, Jul 24 2017 *)

STATUS

proposed

editing

#24 by Antti Karttunen at Mon Jul 24 06:29:12 EDT 2017

STATUS

editing

proposed

#23 by Antti Karttunen at Mon Jul 24 06:28:58 EDT 2017

NAME

Dirichlet inverse of A019590; Fully multiplicative with with a(2^e) = (-1)^e, a(p^e) = 0 for odd primes p.

STATUS

proposed

editing

Discussion

Mon Jul 24

06:29

Antti Karttunen: But without too many withs.

#22 by Antti Karttunen at Mon Jul 24 06:28:34 EDT 2017

STATUS

editing

proposed

#21 by Antti Karttunen at Mon Jul 24 06:28:01 EDT 2017

NAME

Dirichlet inverse of A019590; Fully multiplicative with with a(2^e) = (-1, )^e, a(p^e) = 0 for odd primes p.

STATUS

proposed

editing

Discussion

Mon Jul 24

06:28

Antti Karttunen: Maybe it's better that way.