A329046 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A329046

a(n) = A000005(A324886(n)).

4

2, 2, 2, 3, 2, 3, 2, 4, 4, 3, 2, 5, 2, 3, 7, 9, 2, 9, 2, 5, 7, 3, 2, 8, 15, 3, 4, 5, 2, 12, 2, 4, 7, 3, 27, 25, 2, 3, 7, 4, 2, 4, 2, 5, 12, 3, 2, 8, 28, 45, 7, 5, 2, 9, 15, 9, 7, 3, 2, 16, 2, 3, 16, 9, 28, 13, 2, 5, 7, 36, 2, 24, 2, 3, 72, 5, 51, 13, 2, 9, 28, 3, 2, 9, 24, 3, 7, 9, 2, 33, 91, 5, 7, 3, 16, 21, 2, 117, 33, 28, 2, 13, 2, 9, 40

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Index entries for sequences computed from indices in prime factorization

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

FORMULA

a(n) = A000005(A324886(n)) = A000005(A276086(A108951(n))).

a(n) = A324655(A108951(n)).

PROG

(PARI)

A034386(n) = prod(i=1, primepi(n), prime(i));

A108951(n) = { my(f=factor(n)); prod(i=1, #f~, A034386(f[i, 1])^f[i, 2]) }; \\ From A108951

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

A324886(n) = A276086(A108951(n));

A329046(n) = numdiv(A324886(n));

CROSSREFS

Cf. A000005, A034386, A064989, A108951, A276086, A324655, A324886, A329045.

Sequence in context: A076221 A029235 A289052 * A281856 A106696 A131839

Adjacent sequences: A329043 A329044 A329045 * A329047 A329048 A329049

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 08 2019

STATUS

approved