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A347377
Möbius transform of A280692, A003961(n) - A250469(n).
2
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
1,8
FORMULA
a(n) = Sum_{d|n} A008683(n/d) * A280692(d).
a(n) = A003972(n) - A347376(n).
PROG
(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));
CROSSREFS
KEYWORD
sign
AUTHOR
Antti Karttunen, Sep 01 2021
STATUS
approved