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A347958
Inverse Möbius transform of A345000.
4
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
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
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Sep 21 2021
STATUS
approved