A297382 - OEIS

A297382

Denominator of -A023900(n)/2.

2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

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OFFSET

1,1

COMMENTS

Also denominator of A173557(n)/2. a(n) = 2 iff n is a power of 2, 1 otherwise. - Antti Karttunen, Sep 30 2018

LINKS

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

FORMULA

a(n) = denominator of -A023900(n)/2.

a(n) = 1 + A209229(n). - Antti Karttunen, Sep 30 2018

MATHEMATICA

Clear[n, s, nn]; nn = 64; Denominator[Table[Limit[Zeta[s]*Total[MoebiusMu[Divisors[n]]/Divisors[n]^(s - 1)], s -> 0], {n, 1, nn}]]

PROG

(PARI) A297382(n) = denominator(-(1/2)*factorback(apply(p -> 1-p, factor(n)[, 1]))); \\ Antti Karttunen, Sep 30 2018

CROSSREFS

Cf. A297381 (numerators).

Cf. A023900, A173557.

One more than A209229.

Sequence in context: A137454 A092984 A338428 * A258257 A086600 A218450

Adjacent sequences: A297379 A297380 A297381 * A297383 A297384 A297385

KEYWORD

nonn,frac

AUTHOR

Mats Granvik, Dec 29 2017

EXTENSIONS

More terms from Antti Karttunen, Sep 30 2018

STATUS

approved