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

1,3

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

Formula

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

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

Prog

(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), ", ")));

Crossrefs

Cf. A048103, A276085, A276086.

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

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

Sequence in context: A331431 A248120 A144362 * A303761 A283478 A125666

Adjacent sequences: A376410 A376411 A376412 * A376414 A376415 A376416

Keyword

nonn,new

Author

Antti Karttunen, Nov 13 2024

Status

approved