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A328404 The length of primorial base expansion (number of significant digits) of A276086(n), where A276086(n) converts primorial base expansion of n into its prime product form. 6
1, 2, 2, 3, 3, 3, 2, 3, 3, 4, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 5, 5, 5, 5, 6, 6, 5, 6, 6, 6, 6, 7, 6, 6, 6, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..32768

Index entries for sequences related to primorial base

FORMULA

a(n) = A235224(A276086(n)) = A061395(A276087(n)).

For all n, a(A143293(n-1)) = n+1.

For all n, A000040(a(n)) > A328389(n).

MATHEMATICA

Block[{b = MixedRadix[Reverse@ Prime@ Range@ 120]}, Array[IntegerLength[Times @@ Power @@@ # &@ Transpose@ {Prime@ Range@ Length@ #, Reverse@ #} &@ IntegerDigits[#, b], b] &, 105, 0]] (* Michael De Vlieger, Oct 17 2019 *)

PROG

(PARI)

A235224(n) = { my(s=0, p=2); while(n, s++; n = n\p; p = nextprime(1+p)); (s); };

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

A328404(n) = A235224(A276086(n));

CROSSREFS

Cf. A061395, A143293, A235224, A276086, A276087, A328389, A328405, A328406.

Cf. A328402 (number of times each n occurs in this sequence).

Sequence in context: A108133 A238268 A194883 * A175453 A014499 A055778

Adjacent sequences:  A328401 A328402 A328403 * A328405 A328406 A328407

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 16 2019

STATUS

approved

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Last modified November 17 13:12 EST 2019. Contains 329230 sequences. (Running on oeis4.)