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.
%I A383286 #6 May 12 2025 21:26:35
%S A383286 2,-1,0,3,8,-4,-4,-3,12,14,68,6,24,62,96,195,416,86,212,270,720,956,
%T A383286 2204,584,1160,1788,3660,5454,11192,-300,-48,-429,-228,-820,20,-260,
%U A383286 -4,-376,60,-420,548,-1462,264,-1758,540,-2902,3056,-960,1680,80,3900,4086,15644,-3320,8212,1896,25500,16904,78632,-850,-24,150
%N A383286 Dirichlet convolution of A276086 (primorial base exp-function) with A055615 (Dirichlet inverse of n).
%H A383286 Antti Karttunen, <a href="/A383286/b383286.txt">Table of n, a(n) for n = 1..30030</a>
%H A383286 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>.
%F A383286 a(n) = Sum_{d|n} A276086(n/d)*A055615(d).
%o A383286 (PARI)
%o A383286 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A383286 A055615(n) = (n*moebius(n));
%o A383286 A383286(n) = sumdiv(n,d,A276086(n/d)*A055615(d));
%Y A383286 Cf. A055615, A276086.
%Y A383286 Cf. also A349394, A369010.
%K A383286 sign
%O A383286 1,1
%A A383286 _Antti Karttunen_, May 12 2025