A361967 Number of numbers k such that uphi(k) = n, where uphi is the unitary totient function (A047994).

2, 2, 1, 2, 0, 3, 1, 4, 0, 2, 0, 5, 0, 1, 1, 2, 0, 3, 0, 2, 0, 2, 0, 8, 0, 2, 0, 3, 0, 4, 1, 4, 0, 0, 0, 6, 0, 0, 0, 4, 0, 3, 0, 2, 0, 2, 0, 11, 0, 0, 0, 2, 0, 1, 0, 4, 0, 2, 0, 8, 0, 1, 1, 2, 0, 3, 0, 0, 0, 3, 0, 11, 0, 0, 0, 0, 0, 3, 0, 8, 0, 2, 0, 5, 0, 0, 0

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(A347771(n)) = 0.

a(A361969(n)) = 1.

a(A361970(n)) = n.

Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = A327837. - Amiram Eldar, Dec 24 2024

Mathematica

a[n_] := Length[invUPhi[n]]; Array[a, 100] (* using the function invUPhi from A361966 *)

Crossrefs

Row lengths of A361966.

The unitary version of A014197.

Cf. A047994, A135347, A327837, A347771 (positions of 0's), A361966, A361968 (indices of records), A361969 (positions of 1's), A361970, A361971 (record values).

Sequence in context: A203398 A339275 A225064 * A130071 A321373 A305615

Adjacent sequences: A361964 A361965 A361966 * A361968 A361969 A361970

Keyword

nonn

Author

Amiram Eldar, Apr 01 2023

Status

approved