A348500 a(n) = A348494(A276086(n)).

1, 1, 1, 5, 1, 7, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 3, 5, 1, 1, 1, 3, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 13, 3, 1, 1, 1, 1, 3, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 19, 1, 1, 19, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1

Offset: 0

Author

Antti Karttunen, Oct 21 2021

Keywords

• nonn
• base

Links

• Antti Karttunen, Table of n, a(n) for n = 0..11550
• Index entries for sequences related to primorial base

Crossrefs

Cf. A003557, A276086, A348492, A348494.

Cf. also A348501.

Programs

Mathematica

Block[{b = MixedRadix[Reverse@ Prime@ Range@ 12]}, Map[GCD[Total@GCD[#1, Range[#1]], #1 Total[#2/#1 & @@@ #2]]/Apply[Times, Map[#1^(#2 - 1) & @@ # &, #2]] & @@ {#, FactorInteger[#]} &, Table[Function[k, Times @@ Power @@@ # &@ Transpose@ {Prime@ Range@ Length@ k, Reverse@ k}]@ IntegerDigits[n, b], {n, 0, 105}] ] ] (* Michael De Vlieger, Oct 21 2021 *)

PARI

\\ Needs also code from A348494:
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A348500(n) = A348494(A276086(n));

Formula

a(n) = A348494(A276086(n)), where A348494(n) = A348492(n) / A003557(n).