cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A346470 a(n) = psi(A276086(n)), where psi is Dedekind psi function A001615, and A276086 is the prime product form of primorial base expansion of n.

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%I A346470 #15 Aug 14 2021 22:20:02
%S A346470 1,3,4,12,12,36,6,18,24,72,72,216,30,90,120,360,360,1080,150,450,600,
%T A346470 1800,1800,5400,750,2250,3000,9000,9000,27000,8,24,32,96,96,288,48,
%U A346470 144,192,576,576,1728,240,720,960,2880,2880,8640,1200,3600,4800,14400,14400,43200,6000,18000,24000,72000,72000,216000,56,168,224,672
%N A346470 a(n) = psi(A276086(n)), where psi is Dedekind psi function A001615, and A276086 is the prime product form of primorial base expansion of n.
%H A346470 Antti Karttunen, <a href="/A346470/b346470.txt">Table of n, a(n) for n = 0..2310</a>
%H A346470 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A346470 a(n) = A001615(A276086(n)).
%o A346470 (PARI) A346470(n) = { my(m=1, p=2, e); while(n, e = (n%p); if(e, m *= (p+1)*(p^(e-1))); n = n\p; p = nextprime(1+p)); (m); };
%Y A346470 Cf. A001615.
%Y A346470 Other number-theoretical functions similarly applied to A276086: A267263 (omega), A276150 (bigomega), A324650 (phi), A324653 (sigma), A324655 (tau), A327860 (arithmetic derivative).
%Y A346470 Cf. also A346471, A346475.
%K A346470 nonn,base
%O A346470 0,2
%A A346470 _Antti Karttunen_, Jul 21 2021