A376413 a(n) = A276085(A048103(n)), where A276085 is the primorial base log-function, and A048103 is the range of the primorial base exp-function (A276086).

0, 1, 2, 6, 3, 30, 4, 7, 210, 2310, 31, 8, 30030, 5, 510510, 32, 211, 9699690, 12, 2311, 223092870, 9, 6469693230, 212, 30031, 36, 200560490130, 510511, 2312, 7420738134810, 33, 304250263527210, 10, 9699691, 13082761331670030, 60, 13, 30032, 614889782588491410, 216, 510512, 223092871, 32589158477190044730

Offset: 1

Author

Antti Karttunen, Nov 13 2024

Keywords

• nonn

Comments

Permutation of nonnegative integers.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..1712
• Index entries for sequences related to primorial base
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A048103, A276085, A276086.

Cf. A376411 (inverse permutation, but note the different offsets and ranges).

Cf. also A048672 (analogous permutation for base-2).

Programs

PARI

A276085(n) = { my(f = factor(n), pr=1, i=1, s=0); for(k=1, #f~, while(i <= primepi(f[k, 1])-1, pr *= prime(i); i++); s += f[k, 2]*pr); (s); };
A359550(n) = { my(pp); forprime(p=2, , pp = p^p; if(!(n%pp), return(0)); if(pp > n, return(1))); }; \\ Antti Karttunen, Nov 13 2024
for(n=1,105,if(A359550(n),print1(A276085(n),", ")));

Formula

a(n) = A276085(A048103(n)).

For all n >= 1, A376411(a(n)) = n-1.