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.

A076545 a(n) = Sum_{k=1..n} (mu(k) + sqf(k)) where mu(k) is Moebius function, sqf(k)=1 if k is squarefree and sqf(k)=-1 otherwise.

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%I A076545 #13 Apr 08 2025 21:56:07
%S A076545 2,2,2,1,1,3,3,2,1,3,3,2,2,4,6,5,5,4,4,3,5,7,7,6,5,7,6,5,5,5,5,4,6,8,
%T A076545 10,9,9,11,13,12,12,12,12,11,10,12,12,11,10,9,11,10,10,9,11,10,12,14,
%U A076545 14,13,13,15,14,13,15,15,15,14,16,16,16,15,15,17,16,15,17,17,17,16,15
%N A076545 a(n) = Sum_{k=1..n} (mu(k) + sqf(k)) where mu(k) is Moebius function, sqf(k)=1 if k is squarefree and sqf(k)=-1 otherwise.
%t A076545 Accumulate[Table[MoebiusMu[n]+If[SquareFreeQ[n],1,-1],{n,100}]] (* _Harvey P. Dale_, Jun 02 2022 *)
%Y A076545 Partial sums of A076544.
%Y A076545 Cf. A008683.
%K A076545 easy,nonn
%O A076545 1,1
%A A076545 _Zak Seidov_, Oct 19 2002