A358223 - OEIS

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A358223

Inverse Möbius transform of A181819, prime shadow function.

1, 3, 3, 6, 3, 9, 3, 11, 6, 9, 3, 18, 3, 9, 9, 18, 3, 18, 3, 18, 9, 9, 3, 33, 6, 9, 11, 18, 3, 27, 3, 29, 9, 9, 9, 36, 3, 9, 9, 33, 3, 27, 3, 18, 18, 9, 3, 54, 6, 18, 9, 18, 3, 33, 9, 33, 9, 9, 3, 54, 3, 9, 18, 42, 9, 27, 3, 18, 9, 27, 3, 66, 3, 9, 18, 18, 9, 27, 3, 54, 18, 9, 3, 54, 9, 9, 9, 33, 3, 54

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OFFSET

1,2

COMMENTS

Multiplicative and dependent only on the prime signature (A046523) because also A181819 is.

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..16384

Index entries for sequences computed from exponents in factorization of n.

FORMULA

a(n) = Sum_{d|n} A181819(d).

Multiplicative with a(p^e) = 1 + Sum_{k=1..e} prime(k) = A014284(e+1). - Amiram Eldar, Oct 23 2023

MATHEMATICA