A392877 a(n) = A276076(A276075(n)), where A276075 and A276076 are factorial base log and exp-functions.

1, 2, 3, 3, 5, 6, 7, 6, 9, 10, 11, 9, 13, 14, 15, 9, 17, 18, 19, 15, 21, 22, 23, 18, 25, 26, 5, 21, 29, 30, 31, 18, 33, 34, 35, 5, 37, 38, 39, 30, 41, 42, 43, 33, 45, 46, 47, 5, 49, 50, 51, 39, 53, 10, 55, 42, 57, 58, 59, 45, 61, 62, 63, 5, 65, 66, 67, 51, 69, 70, 71, 10, 73, 74, 75, 57, 77, 78, 79, 45, 15, 82, 83

Offset

1,2

Comments

This sequence contains only terms of A276078.

Links

Antti Karttunen, Table of n, a(n) for n = 1..12000

Index entries for sequences related to factorial base representation.

Formula

a(n) = n - A376417(n).

Prog

(PARI)
A276075(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*(primepi(f[k, 1])!)); };
A276076(n) = { my(m=1, p=2, i=2); while(n, m *= (p^(n%i)); n = n\i; p = nextprime(1+p); i++); (m); };
A392877(n) = A276076(A276075(n));

Crossrefs

Cf. A276075, A276076, A276078 (fixed points), A376417.

Differs from analogous A392878 first at n=625, where a(625) = 7.

Cf. also A097248 for analogous sequence for base-2.

Sequence in context: A337868 A063659 A384249 * A392878 A392879 A255563

Adjacent sequences: A392874 A392875 A392876 * A392878 A392879 A392880

Keyword

nonn,easy

Author

Antti Karttunen, Jan 31 2026

Status

approved