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A154282 Dirichlet inverse of A154281. 4
1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sequence is positive as often as negative.

Multiplicative because A154281 is. - Andrew Howroyd, Aug 05 2018

LINKS

Mats Granvik, Table of n, a(n) for n = 1..1500

MATHEMATICA

nn = 95; a = PadRight[{1, 0, 0, 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 23 2017 *)

PROG

(PARI) a(n) = {my(e=valuation(n, 2)); if(e%2 == 0 && n == 1<<e, (-1)^(e/2), 0)} \\ Andrew Howroyd, Aug 05 2018

CROSSREFS

Cf. A154269, A154271, A154272.

Sequence in context: A246500 A185114 A154281 * A224877 A178600 A014702

Adjacent sequences:  A154279 A154280 A154281 * A154283 A154284 A154285

KEYWORD

sign,mult

AUTHOR

Mats Granvik, Jan 06 2009

STATUS

approved

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Last modified March 30 19:21 EDT 2020. Contains 333127 sequences. (Running on oeis4.)