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.

A351445 a(n) = A003958(sigma(n)) - A003958(n), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.

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%I A351445 #15 Feb 12 2022 20:29:53
%S A351445 0,1,-1,5,-2,0,-5,7,8,0,-8,4,-6,-4,-6,29,-12,20,-14,8,-11,-6,-20,6,14,
%T A351445 0,-4,0,-20,-4,-29,23,-18,-8,-22,68,-18,-10,-18,12,-28,-10,-32,2,8,
%U A351445 -18,-44,28,0,44,-28,24,-44,0,-36,2,-32,-12,-50,4,-30,-28,-12,125,-36,-16,-50,8,-42,-20,-66,92,-36,0
%N A351445 a(n) = A003958(sigma(n)) - A003958(n), where A003958 is multiplicative with a(p^e) = (p-1)^e and sigma is the sum of divisors function.
%H A351445 Antti Karttunen, <a href="/A351445/b351445.txt">Table of n, a(n) for n = 1..20000</a>
%H A351445 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A351445 a(n) = A351442(n) - A003958(n) = A351444(n) - n.
%o A351445 (PARI)
%o A351445 A003958(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1]--); factorback(f); };
%o A351445 A351445(n) = (A003958(sigma(n)) - A003958(n));
%Y A351445 Cf. A000203, A003958, A351442, A351444, A351457 [= a(A003961(n))].
%Y A351445 Cf. A351446 (positions of zeros), A351443 (odd terms there).
%Y A351445 Cf. also A348736.
%K A351445 sign
%O A351445 1,4
%A A351445 _Antti Karttunen_, Feb 12 2022