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.

A329445 Dirichlet inverse of A328745.

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%I A329445 #11 Dec 24 2022 03:39:32
%S A329445 1,-2,-3,1,-5,6,-7,0,3,10,-11,-3,-13,14,15,0,-17,-6,-19,-5,21,22,-23,
%T A329445 0,10,26,-1,-7,-29,-30,-31,0,33,34,35,3,-37,38,39,0,-41,-42,-43,-11,
%U A329445 -15,46,-47,0,21,-20,51,-13,-53,2,55,0,57,58,-59,15,-61,62,-21,0,65,-66,-67,-17
%N A329445 Dirichlet inverse of A328745.
%C A329445 Signed version of A182938.
%F A329445 Multiplicative with a(p^e) = (-1)^e*binomial(p,e) for prime p and e >= 0.
%F A329445 Dirichlet g.f.: Sum_{n>0} a(n)/n^s = Product_{p prime} (1-p^(-s))^p.
%F A329445 a(n) = A182938(n) * A008836(n) for n > 0.
%o A329445 (Python)
%o A329445 from math import prod, comb
%o A329445 from sympy import factorint
%o A329445 def A329445(n): return prod(-comb(p,e) if e&1 else comb(p,e) for p,e in factorint(n).items()) # _Chai Wah Wu_, Dec 23 2022
%Y A329445 Cf. A008836, A182938, A328745.
%K A329445 sign,mult
%O A329445 1,2
%A A329445 _Werner Schulte_, Nov 13 2019