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A124300 Greatest x such that mu(n+k) = mu(n) for 0<=k<=x, where mu=A008683.

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%I A124300 #6 Feb 16 2025 08:33:03
%S A124300 0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,2,1,0,0,2,1,
%T A124300 0,0,0,1,0,0,2,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,
%U A124300 0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,2,1,0,0,0,2,1,0,2,1,0,0,0
%N A124300 Greatest x such that mu(n+k) = mu(n) for 0<=k<=x, where mu=A008683.
%C A124300 a(n+1) = a(n) - 1 if a(n) > 0;
%C A124300 a(A124301(n)) = n and a(m) < n for m < A124301(n);
%C A124300 a(A068781(n)) > 0; a(A086263(n)) > 0.
%H A124300 R. Zumkeller, <a href="/A124300/b124300.txt">Table of n, a(n) for n = 1..10000</a>
%H A124300 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MoebiusFunction.html">Moebius Function</a>
%K A124300 nonn
%O A124300 1,29
%A A124300 _Reinhard Zumkeller_, Oct 25 2006