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A054015 a(n) is Chowla function of n read modulo (number of proper divisors of n), a(1) = 0 by convention.

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%I A054015 #10 Oct 27 2023 22:00:46
%S A054015 0,0,0,0,0,2,0,0,1,1,0,0,0,0,2,2,0,0,0,1,1,1,0,0,1,0,0,2,0,6,0,0,2,1,
%T A054015 0,6,0,0,1,0,0,4,0,4,2,1,0,3,1,2,2,0,0,2,1,0,1,1,0,8,0,0,0,2,0,0,0,2,
%U A054015 2,3,0,1,0,0,3,3,0,5,0,6,3,1,0,7,1,0,2,0,0,0,2,0,1,1,0,1,0,2,1,4,0,1,0,0,2
%N A054015 a(n) is Chowla function of n read modulo (number of proper divisors of n), a(1) = 0 by convention.
%C A054015 Chowla's function (A048050) = sum of divisors of n except 1 and n.
%H A054015 Antti Karttunen, <a href="/A054015/b054015.txt">Table of n, a(n) for n = 1..16384</a>
%H A054015 <a href="/index/Su#sums_of_divisors">Index entries for sequences related to sums of divisors</a>
%F A054015 a(1) = 0; for n > 1, a(n) = A048050(n) mod A032741(n).
%p A054015 with(numtheory): [seq((sigma(i)-i-1) mod (tau(i)-1),i=2..120);#i>1
%o A054015 (PARI) A054015(n) = if(1==n,0,((sigma(n)-n-1) % (numdiv(n)-1))); \\ _Antti Karttunen_, Oct 20 2017
%Y A054015 Cf. A032741, A048050, A054013, A054014.
%K A054015 nonn
%O A054015 1,6
%A A054015 _Asher Auel_, Jan 17 2000
%E A054015 Description clarified by _Antti Karttunen_, Oct 20 2017