A328403 a(n) = A276086(A276086(A276086(n))), where A276086(n) converts primorial base expansion of n into its prime product form.

3, 6, 5, 18, 7, 43218, 125, 1050, 16807, 10, 161051, 1320550, 7105308412125, 7357350, 265837, 835182761270, 2292646180979, 146410, 258413198822535882125, 107718961350, 1045726245479028578048875581177070937, 32310040537956402036523898190, 528950766088569054716797662440479

Offset: 0

Author

Antti Karttunen, Oct 15 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..134
• Index entries for sequences related to primorial base

Crossrefs

Cf. A276086, A276087, A328316, A328394, A328398, A328405, A328406.

Programs

Mathematica

Block[{b = MixedRadix[Reverse@ Prime@ Range@ 120], f}, f[n_] := Times @@ Power @@@ # &@ Transpose@ {Prime@ Range@ Length@ #, Reverse@ #} &@ IntegerDigits[n, b]; Array[Nest[f, #, 3] &, 23, 0]] (* Michael De Vlieger, Oct 17 2019 *)

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A328403(n) = A276086(A276086(A276086(n)));

Formula

a(n) = A276086(A276087(n)) = A276086(A276086(A276086(n))).

A051903(a(n)) = A328394(n).

A061395(a(n)) = A328405(n).

A328114(a(n)) = A328398(n).

A235224(a(n)) = A328406(n).