A389073 a(n) = sigma(A332818(n)), where sigma is the sum of divisors, and A332818(n) = A108548(A003961(A332808(n))) [a special prime shift].

1, 4, 6, 13, 8, 24, 14, 40, 31, 32, 18, 78, 12, 56, 48, 121, 20, 124, 30, 104, 84, 72, 38, 240, 57, 48, 156, 182, 24, 192, 42, 364, 108, 80, 112, 403, 32, 120, 72, 320, 44, 336, 54, 234, 248, 152, 62, 726, 183, 228, 120, 156, 48, 624, 144, 560, 180, 96, 74, 624, 60, 168, 434, 1093, 96, 432, 90, 260, 228, 448, 98

Offset

1,2

Comments

Inverse Möbius transform of A332818.

Links

Antti Karttunen, Table of n, a(n) for n = 1..26921

Formula

a(n) = Sum_{d|n} A332818(d) = Sum_{d|A332818(n)} d.

a(n) = A389081(n) / n.

Prog

(PARI) A389073(n) = sigma(A332818(n));

Crossrefs

Cf. A000203, A332818, A389081.

Cf. also A003973, A354089, A354093 for similar sequences.

Sequence in context: A341525 A354363 A003973 * A341636 A349129 A034747

Adjacent sequences: A389070 A389071 A389072 * A389074 A389075 A389076

Keyword

nonn,mult

Author

Antti Karttunen, Sep 23 2025

Status

approved