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A156277
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Dirichlet inverse of A011655, characteristic function of numbers that are not multiples of 3; Numbers appearing at every third row in the third column of A156241.
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7
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1, -1, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 1, 1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, -1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, -1, 1, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 1, 1, 0, 0, -1, 0, 1, 0, 0, 1, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 1
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OFFSET
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1
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COMMENTS
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The Dirichlet inverse is A011655, and the Mobius inverse is represented by the absolute values of A154271. - R. J. Mathar, Jul 02 2013
Note the correspondences between four sequences:
^ ^
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inv inv
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v v
Here inv means that the sequences are Dirichlet Inverses of each other, and abs means taking absolute values.
(End)
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LINKS
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FORMULA
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Dirichlet g.f.: 3^s/((3^s-1)*zeta(s)). - Amiram Eldar, Jan 07 2023
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MAPLE
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seq( -numtheory[mobius](3*n), n=1..80) ; # R. J. Mathar, Mar 31 2011
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PROG
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CROSSREFS
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KEYWORD
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easy,sign,mult
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AUTHOR
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EXTENSIONS
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Data section extended up to a(106) and a new primary definition (from R. J. Mathar's Jul 02 2013 comment) added to the name field by Antti Karttunen, Dec 29 2022
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STATUS
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approved
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