A324653 a(n) = A000203(A276086(n)).

1, 3, 4, 12, 13, 39, 6, 18, 24, 72, 78, 234, 31, 93, 124, 372, 403, 1209, 156, 468, 624, 1872, 2028, 6084, 781, 2343, 3124, 9372, 10153, 30459, 8, 24, 32, 96, 104, 312, 48, 144, 192, 576, 624, 1872, 248, 744, 992, 2976, 3224, 9672, 1248, 3744, 4992, 14976, 16224, 48672, 6248, 18744, 24992, 74976, 81224, 243672, 57, 171, 228

Offset: 0

Author

Antti Karttunen, Mar 10 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..2310
• Index entries for sequences related to primorial base
• Index entries for sequences related to primorial numbers
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000203, A002110, A276086.

Cf. A267263, A276150, A324650, A324655 for omega, bigomega, phi and tau analogs, and also A324654.

Cf. also A324054.

Programs

PARI

A276086(n) = { my(i=0,m=1,pr=1,nextpr); while((n>0),i=i+1; nextpr = prime(i)*pr; if((n%nextpr),m*=(prime(i)^((n%nextpr)/pr));n-=(n%nextpr));pr=nextpr); m; };
A324653(n) = sigma(A276086(n));

Formula

a(n) = A000203(A276086(n)).

For n >= 1, a(A002110(n-1)) = 1+A000040(n).