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 A356154 #7 Jul 28 2022 21:15:56 %S A356154 1,-1,-2,0,-1,3,-1,0,3,1,-1,-1,-1,1,3,0,-1,-7,-1,-1,2,1,-1,0,-1,1,-5, %T A356154 0,-1,-5,-1,0,3,1,1,5,-1,1,2,2,-1,-3,-1,0,-7,1,-1,0,-4,2,3,0,-1,15,1, %U A356154 -3,2,1,-1,5,-1,1,-3,0,1,-5,-1,0,3,-1,-1,-2,-1,1,2,0,-1,-3,-1,-1,8,1,-1,1,1,1,3,0,-1,17 %N A356154 Dirichlet inverse of A356153. %H A356154 Antti Karttunen, <a href="/A356154/b356154.txt">Table of n, a(n) for n = 1..65537</a> %H A356154 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a> %F A356154 a(1) = 1, and for n > 1, a(n) = -Sum_{d|n, d<n} A356153(n/d) * a(d). %o A356154 (PARI) %o A356154 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); }; %o A356154 A356153(n) = for(k=1, oo, if((k*A276086(k))%n==0, return(k/gcd(n,k)))); %o A356154 memoA356154 = Map(); %o A356154 A356154(n) = if(1==n,1,my(v); if(mapisdefined(memoA356154,n,&v), v, v = -sumdiv(n,d,if(d<n,A356153(n/d)*A356154(d),0)); mapput(memoA356154,n,v); (v))); %Y A356154 Cf. A276086, A355944, A356151, A356153. %K A356154 sign %O A356154 1,3 %A A356154 _Antti Karttunen_, Jul 28 2022