A348501 a(n) = A348496(A276086(n)), where A348496(n) = A348495(n) / A003557(n).

1, 1, 1, 5, 1, 21, 1, 1, 1, 1, 3, 3, 1, 3, 1, 3, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 5, 35, 3, 3, 1, 3, 5, 1, 1, 3, 3, 1, 1, 13, 3, 3, 1, 3, 1, 3, 1, 3, 13, 3, 1, 1, 1, 3, 3, 1, 5, 5, 39, 3, 1, 3, 1, 3, 1, 3, 3, 9, 3, 3, 9, 9, 1, 3, 1, 3, 1, 3, 1, 3, 1, 57, 1, 3, 57, 9, 15, 15, 3, 9, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3

Offset

0,4

Links

Antti Karttunen, Table of n, a(n) for n = 0..11550

Index entries for sequences related to primorial base

Formula

a(n) = A348496(A276086(n)).

Mathematica

Block[{b = MixedRadix[Reverse@ Prime@ Range@ 12]}, Map[Function[n, GCD[Total@ GCD[n, Range[n]], DivisorSum[n, #*(If[# < 2, 0, # Total[#2/#1 & @@@ FactorInteger[#]]] &[n/#]) &]]/Apply[Times, Map[#1^(#2 - 1) & @@ # &, FactorInteger[n]]]], Table[Function[k, Times @@ Power @@@ # &@ Transpose@ {Prime@ Range@ Length@ k, Reverse@ k}]@ IntegerDigits[n, b], {n, 0, 101}] ] ] (* Michael De Vlieger, Oct 21 2021 *)

Prog

(PARI)
\\ Needs also code from A348496:
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A348501(n) = A348496(A276086(n));

Crossrefs

Cf. A003557, A276086, A348495, A348496.

Cf. also A348500, A348502.

Sequence in context: A144879 A049411 A070729 * A296306 A101693 A063476

Adjacent sequences: A348498 A348499 A348500 * A348502 A348503 A348504

Keyword

nonn,base

Author

Antti Karttunen, Oct 21 2021

Status

approved