A328392 Maximal digit value in primorial base expansion of A327860(n): a(n) = A328114(A327860(n)).

0, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 4, 2, 2, 4, 6, 1, 3, 2, 2, 4, 5, 6, 7, 3, 7, 10, 7, 6, 9, 1, 1, 2, 2, 3, 5, 2, 4, 2, 1, 3, 4, 3, 5, 2, 6, 9, 4, 3, 10, 3, 6, 8, 2, 8, 5, 7, 7, 5, 10, 2, 2, 3, 4, 2, 6, 4, 2, 6, 9, 3, 4, 4, 5, 6, 9, 6, 7, 5, 7, 9, 5, 11, 10, 4, 3, 5, 11, 16, 7, 4, 3, 5, 2, 5, 6, 5, 7, 4, 6, 8, 10, 5, 9, 12, 11

Offset: 0

Author

Antti Karttunen, Oct 15 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..30030
• Index entries for sequences related to primorial base

Crossrefs

Cf. A002110, A003415, A276086, A327859, A327860, A328114, A328389, A328390, A328391, A328396.

Programs

PARI

A327860(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= (p^e); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };
A328114(n) = { my(s=0, p=2); while(n, s = max(s,(n%p)); n = n\p; p = nextprime(1+p)); (s); };
A328392(n) = A328114(A327860(n));

Formula

a(n) = A328114(A327860(n)) = A328390(A276086(n)) = A328114(A003415(A276086(n))).