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 A354358 #17 Jan 07 2023 04:03:22 %S A354358 1,1,1,4,1,1,1,24,4,1,1,4,1,1,1,180,1,4,1,4,1,1,1,24,4,1,24,4,1,1,1, %T A354358 2100,1,1,1,16,1,1,1,24,1,1,1,4,4,1,1,180,4,4,1,4,1,24,1,24,1,1,1,4,1, %U A354358 1,4,27720,1,1,1,4,1,1,1,96,1,1,4,4,1,1,1,180,180,1,1,4,1,1,1,24,1,4,1,4,1,1,1,2100 %N A354358 Möbius transform of A124859. %C A354358 Multiplicative because A124859 is. %H A354358 Antti Karttunen, <a href="/A354358/b354358.txt">Table of n, a(n) for n = 1..20000</a> %F A354358 a(n) = Sum_{d|n} A008683(n/d) * A124859(d). %F A354358 Multiplicative with a(p^e) = primorial(e) - primorial(e-1). - _Sebastian Karlsson_, Jul 30 2022 %t A354358 primorial[n_] := Product[Prime[i], {i, 1, n}]; primorial[0] = 1; f[p_, e_] := primorial[e] - primorial[e-1]; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* _Amiram Eldar_, Jan 07 2023 *) %o A354358 (PARI) %o A354358 A124859(n) = { my(f=factor(n)); for(k=1, #f~, f[k, 1] = prod(j=1, f[k, 2], prime(j)); f[k, 2] = 1); factorback(f); }; \\ From A124859 %o A354358 A354358(n) = sumdiv(n,d,moebius(n/d)*A124859(d)); %Y A354358 Cf. A002110, A008683, A124859. %Y A354358 Cf. also A347379, A354359. %K A354358 nonn,mult %O A354358 1,4 %A A354358 _Antti Karttunen_, Jun 05 2022