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

1,2

Links

Andrew Howroyd, Table of n, a(n) for n = 1..10000

Index entries for sequences related to sigma(n)

Formula

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

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

Prog

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

Crossrefs

Cf. A000203, A003959, A051027.

Sequence in context: A122824 A179396 A093491 * A140808 A163642 A220533

Adjacent sequences: A348509 A348510 A348511 * A348513 A348514 A348515

Keyword

nonn,mult

Author

Antti Karttunen, Oct 29 2021

Status

approved