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.

A348709 Number of squarefree integers with an even number of prime factors <= 10^n.

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%I A348709 #15 Nov 09 2021 06:41:33
%S A348709 1,3,31,305,3030,30373,304069,3040164,30397311,303963451,3039618610,
%T A348709 30396311212,303963582320,3039635808938,30396354655186,
%U A348709 303963549318865,3039635507672484,30396355081786770,303963550903632005,3039635509720135531,30396355092931863204,303963550925315375170
%N A348709 Number of squarefree integers with an even number of prime factors <= 10^n.
%C A348709 a(n) is the number of integers k <= 10^n with mu(k)=1 where mu(k) is the Möbius function.
%F A348709 a(n) = (A071172(n) + A084237(n)) / 2.
%F A348709 Lim_{n->oo} a(n)/10^n = 3/Pi^2 (A104141).
%e A348709 a(1) = 3 because there are 3 squarefree integers with an even number of prime factors <= 10: 1, 6, 10.
%t A348709 Table[Length@Select[Range[10^n],MoebiusMu@#==1&],{n,0,6}]
%Y A348709 Cf. A071172, A084237, A008683, A030229, A104141, A348708.
%K A348709 nonn
%O A348709 0,2
%A A348709 _Giorgos Kalogeropoulos_, Oct 30 2021