A349138 Inverse Möbius transform of A349137, where A349137(n) = phi(A003602(n)).

1, 2, 2, 3, 3, 4, 3, 4, 6, 6, 3, 6, 7, 6, 8, 5, 7, 12, 5, 9, 14, 6, 5, 8, 15, 14, 12, 9, 9, 16, 9, 6, 20, 14, 11, 18, 19, 10, 16, 12, 13, 28, 11, 9, 34, 10, 9, 10, 23, 30, 20, 21, 19, 24, 17, 12, 34, 18, 9, 24, 31, 18, 34, 7, 29, 40, 17, 21, 30, 22, 13, 24, 37, 38, 38, 15, 29, 32, 17, 15, 52, 26, 13, 42, 51, 22, 30

Offset: 1

Author

Antti Karttunen, Nov 13 2021

Keywords

• nonn
• look

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384

Crossrefs

Cf. A000010, A003602, A349137.

Cf. also A349122.

Programs

PARI

A349137(n) = eulerphi((1+(n>>valuation(n,2)))/2);
A349138(n) = sumdiv(n,d,A349137(d));

Formula

a(n) = Sum_{d|n} A349137(d).