A328322 Maximal digit value used when A328316(n) is written in primorial base; maximal prime exponent in A328316(1+n).

0, 1, 1, 1, 1, 2, 3, 4, 7, 49, 430, 74814

Offset: 0

Author

Antti Karttunen, Oct 14 2019

Keywords

• nonn

Links

• Index entries for sequences related to primorial base

Crossrefs

Cf. A051903, A276086, A328114, A328316, A328317, A328318, A328319, A328323.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A328316(n) = if(!n,0,A276086(A328316(n-1)));
A328114(n) = { my(s=0, p=2); while(n, s = max(s,(n%p)); n = n\p; p = nextprime(1+p)); (s); };
A328322(n) = A328114(A328316(n));
\\ Or alternatively as, more slowly:
A051903(n) = if((1==n),0,vecmax(factor(n)[, 2]));
A328322(n) = A051903(A328316(1+n));

Formula

a(n) = A328114(A328316(n)).

a(n) = A051903(A328316(1+n)).