A347958 Inverse Möbius transform of A345000.

1, 2, 2, 4, 2, 4, 2, 8, 3, 4, 2, 8, 2, 4, 4, 24, 2, 8, 2, 8, 8, 4, 2, 16, 7, 8, 4, 8, 2, 8, 2, 34, 4, 4, 6, 24, 2, 4, 4, 14, 2, 12, 2, 10, 6, 8, 2, 34, 3, 14, 8, 14, 2, 12, 4, 14, 4, 4, 2, 16, 2, 4, 10, 46, 6, 8, 2, 8, 4, 10, 2, 44, 2, 4, 64, 16, 6, 12, 2, 46, 5, 4, 2, 20, 4, 8, 4, 154, 2, 16, 4, 26, 4, 52, 6, 46

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000

Index entries for sequences related to primorial base

Formula

a(n) = Sum_{d|n} A345000(d).

Prog

(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A345000(n) = gcd(A003415(n), A003415(A276086(n)));
A347958(n) = sumdiv(n, d, A345000(d));

Crossrefs

Cf. A003415, A276086, A327860, A345000, A347959.

Sequence in context: A055155 A085191 A188581 * A318316 A328721 A165872

Adjacent sequences: A347955 A347956 A347957 * A347959 A347960 A347961

Keyword

nonn,base

Author

Antti Karttunen, Sep 21 2021

Status

approved