A348512 a(n) = A003959(sigma(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and sigma is the sum of divisors function.

1, 4, 9, 8, 12, 36, 27, 24, 14, 48, 36, 72, 24, 108, 108, 32, 48, 56, 54, 96, 243, 144, 108, 216, 32, 96, 162, 216, 72, 432, 243, 128, 324, 192, 324, 112, 60, 216, 216, 288, 96, 972, 108, 288, 168, 432, 324, 288, 80, 128, 432, 192, 192, 648, 432, 648, 486, 288, 216, 864, 96, 972, 378, 128, 288, 1296, 162, 384, 972, 1296

Offset: 1

Author

Antti Karttunen, Oct 29 2021

Keywords

• nonn
• mult

Links

• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000203, A003959, A051027.

Programs

PARI

A003959(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1]++); factorback(f); };
A348512(n) = A003959(sigma(n));

Formula

Multiplicative with a(p^e) = A003959(1 + p + ... + p^e).

a(n) = A003959(A000203(n)).