A279288 a(n) = denominator of (phi(n)/tau(n)).

1, 2, 1, 3, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 5, 1, 1, 1, 3, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 5, 1, 3, 1, 1, 1, 4, 1, 1, 1, 1, 1, 3, 1, 2, 1, 7, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 2, 1

Offset: 1

Author

Jaroslav Krizek, Dec 09 2016

Keywords

• nonn
• frac

Comments

a(n) = denominator of (A000010(n)/A000005(n)).

See A279287 (numerator of (phi(n)/tau(n))) and A063070 (phi(n)-tau(n)).

a(n) = 1 and A279287(n) = 1 for numbers n in A020488; A279287(n) > a(n) for numbers n in A279289.

Examples

			For n = 6: phi(6)/tau(6) = 2/4 = 1/2; a(6) = 2.
		

Links

• Jaroslav Krizek, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000005, A000010, A020488, A020490, A020491, A063070, A279287, A279289.

Programs

Magma

[Denominator(EulerPhi(n)/NumberOfDivisors(n)): n in[1..1000]];

Mathematica

Table[Denominator[EulerPhi[n]/DivisorSigma[0, n]], {n, 120}] (* Michael De Vlieger, Dec 10 2016 *)

PARI

a(n) = denominator(eulerphi(n)/numdiv(n)) \\ Felix Fröhlich, Dec 09 2016

Formula

a(n) = 1 for numbers in A020491.