A328575 a(n) = A003557(A032742(A276086(n))).

1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 5, 5, 5, 15, 5, 25, 25, 25, 25, 75, 25, 125, 125, 125, 125, 375, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 5, 5, 5, 5, 15, 5, 25, 25, 25, 25, 75, 25, 125, 125, 125, 125, 375, 1, 7, 7, 7, 7, 21, 7, 7, 7, 7, 7, 21, 7, 35, 35, 35, 35, 105, 35, 175, 175, 175, 175, 525, 175, 875, 875, 875, 875, 2625, 7

Offset: 0

Author

Antti Karttunen, Oct 20 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..2310
• Antti Karttunen, Data supplement: n, a(n) computed for n = 0..32768
• Index entries for sequences related to primorial base

Crossrefs

Cf. A003557, A032742, A051903, A276086, A276088, A328114, A328572, A328576.

Programs

PARI

A003557(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 2] = f[i, 2]-1); factorback(f); }; \\ From A003557
A032742(n) = if(1==n,n,n/vecmin(factor(n)[,1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A328575(n) = A003557(A032742(A276086(n)));

Formula

a(n) = A003557(A032742(A276086(n))).

For n >= 1, a(n) = A003557(A276086(A276151(n))).

For n >= 1, max(A276088(n),1+A051903(a(n))) = A328114(n).