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.

A295305 a(n) = tau(sigma(n)) - tau(n), where tau is the number of divisors (A000005) and sigma is the sum of divisors of n (A000203).

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%I A295305 #9 Oct 26 2020 17:23:55
%S A295305 0,0,1,-1,2,2,2,0,-1,2,4,0,2,4,4,-3,4,-2,4,2,2,5,6,4,-1,4,4,2,6,4,4,0,
%T A295305 6,4,6,-5,2,8,4,4,6,4,4,6,2,8,8,-4,1,-2,8,0,6,8,8,8,6,8,10,4,2,8,2,-5,
%U A295305 8,7,4,6,8,7,10,-4,2,4,0,6,8,8,8,-2,-2,8,10,0,8,8,12,10,10,0,6,10,4,11,12,6,4,0,6,-5,6,8,6,8,6
%N A295305 a(n) = tau(sigma(n)) - tau(n), where tau is the number of divisors (A000005) and sigma is the sum of divisors of n (A000203).
%H A295305 Antti Karttunen, <a href="/A295305/b295305.txt">Table of n, a(n) for n = 1..16384</a>
%F A295305 a(n) = A062068(n) - A000005(n).
%t A295305 Table[DivisorSigma[0,DivisorSigma[1,n]]-DivisorSigma[0,n],{n,110}] (* _Harvey P. Dale_, Oct 26 2020 *)
%o A295305 (PARI) A295305(n) = (numdiv(sigma(n)) - numdiv(n));
%Y A295305 Cf. A000005, A000203, A062068, A295306.
%Y A295305 Cf. A037197 (positions of zeros), A073803 (of positive terms), A073804 (of negative terms).
%K A295305 sign
%O A295305 1,5
%A A295305 _Antti Karttunen_, Nov 21 2017