A347377 Möbius transform of A280692, A003961(n) - A250469(n).

0, 0, 0, 0, 0, 0, 0, 6, 0, -6, 0, 12, 0, -6, 0, 30, 0, 24, 0, 12, 0, -24, 0, 48, 0, -24, 60, 24, 0, 24, 0, 114, -20, -42, 0, 84, 0, -42, -10, 60, 0, 48, 0, 12, 60, -48, 0, 168, 0, 6, -30, 24, 0, 132, 0, 108, -30, -78, 0, 96, 0, -72, 120, 390, 0, 44, 0, 12, -30, 36, 0, 288, 0, -96, 60, 24, 0, 58, 0, 228, 360, -114

Offset: 1

Author

Antti Karttunen, Sep 01 2021

Keywords

• sign

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Index entries for sequences computed from indices in prime factorization
• Index entries for sequences generated by sieves

Crossrefs

Cf. A003961, A003972, A008683, A250469, A280692, A347376.

Cf. also A346480.

Programs

PARI

A003961(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
A280692(n) = (A003961(n) - A250469(n));
A347377(n) = sumdiv(n,d,moebius(n/d)*A280692(d));

Formula

a(n) = Sum_{d|n} A008683(n/d) * A280692(d).

a(n) = A003972(n) - A347376(n).