A328476 Convert the primorial base expansion of n into its prime product form, then subtract the largest primorial which divides that product: a(n) = A276151(A276086(n)).

0, 0, 2, 0, 8, 12, 4, 8, 14, 0, 44, 60, 24, 48, 74, 120, 224, 420, 124, 248, 374, 720, 1124, 2220, 624, 1248, 1874, 3720, 5624, 11220, 6, 12, 20, 36, 62, 120, 34, 68, 104, 0, 314, 420, 174, 348, 524, 840, 1574, 2940, 874, 1748, 2624, 5040, 7874, 15540, 4374, 8748, 13124, 26040, 39374, 78540, 48, 96, 146, 288, 440, 876, 244, 488

Offset: 0

Author

Antti Karttunen, Oct 19 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..2559
• Index entries for sequences related to primorial base

Crossrefs

Cf. A002110, A053589, A276086, A276087, A276151, A326810, A328475.

Cf. A143293 (indices of other zeros after a(0)=0).

Programs

PARI

A276151(n) = { my(s=1); forprime(p=2, , if(n%p, return(n-s), s *= p)); };
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A328476(n) = A276151(A276086(n));

Formula

a(n) = A276151(A276086(n)).

A276086(a(n)) = A276087(n) / A326810(n).