A369742 a(n) = Sum_{p|n, p prime} p^(mu(n/p)^2).

0, 2, 3, 2, 5, 5, 7, 1, 3, 7, 11, 3, 13, 9, 8, 1, 17, 4, 19, 3, 10, 13, 23, 2, 5, 15, 1, 3, 29, 10, 31, 1, 14, 19, 12, 2, 37, 21, 16, 2, 41, 12, 43, 3, 4, 25, 47, 2, 7, 6, 20, 3, 53, 2, 16, 2, 22, 31, 59, 4, 61, 33, 4, 1, 18, 16, 67, 3, 26, 14, 71, 2, 73, 39, 6, 3, 18

Offset

1,2

Links

Table of n, a(n) for n=1..77.

Mathematica

Table[DivisorSum[n, #^(MoebiusMu[n/#]^2) &, PrimeQ[#] &], {n, 100}]

Crossrefs

Cf. A008683 (mu), A143519.

Sequence in context: A240858 A035361 A137851 * A367476 A141346 A095402

Adjacent sequences: A369739 A369740 A369741 * A369743 A369744 A369745

Keyword

nonn,easy

Author

Wesley Ivan Hurt, Jan 30 2024

Status

approved