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

0,2

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)

Formula

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

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

Prog

(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));

Crossrefs

Cf. A000203, A002110, A276086.

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

Cf. also A324054.

Sequence in context: A346470 A218968 A332206 * A094025 A336612 A070287

Adjacent sequences: A324650 A324651 A324652 * A324654 A324655 A324656

Keyword

nonn

Author

Antti Karttunen, Mar 10 2019

Status

approved