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A174273 Inverse Moebius transform of A035263. 1
1, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 4, 2, 2, 4, 3, 2, 3, 2, 4, 4, 2, 2, 4, 3, 2, 4, 4, 2, 4, 2, 3, 4, 2, 4, 6, 2, 2, 4, 4, 2, 4, 2, 4, 6, 2, 2, 6, 3, 3, 4, 4, 2, 4, 4, 4, 4, 2, 2, 8, 2, 2, 6, 4, 4, 4, 2, 4, 4, 4, 2, 6, 2, 2, 6, 4, 4, 4, 2, 6, 5, 2, 2, 8, 4, 2, 4, 4, 2, 6, 4, 4, 4, 2, 4, 6, 2, 3, 6, 6, 2, 4, 2, 4, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

FORMULA

a(1) = 1, a(2n) = -a(n) + A000005(2n), a(2n+1) = sigma(2n+1) (A000203).

Dirichlet g.f. 2^s*(zeta(s))^2/(2^s+1). - R. J. Mathar, Feb 06 2011

PROG

(PARI) A174273(n) = sumdiv(n, d, (valuation(2*d, 2)%2)); \\ Antti Karttunen, Sep 27 2018

CROSSREFS

Cf. A000035, A001511, A035263.

Sequence in context: A171092 A141256 A122921 * A108128 A081326 A257071

Adjacent sequences:  A174270 A174271 A174272 * A174274 A174275 A174276

KEYWORD

nonn,mult

AUTHOR

Ralf Stephan, Nov 27 2010

EXTENSIONS

More terms from Antti Karttunen, Sep 27 2018

STATUS

approved

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)