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.

A318448 a(n) = Sum_{d|n} A294898(d), where A294898(d) = A005187(d) - sigma(d).

This page as a plain text file.
%I A318448 #8 Aug 27 2018 08:13:49
%S A318448 0,0,0,0,2,-2,3,0,3,2,7,-8,9,4,4,0,14,-4,15,-2,10,12,18,-22,18,16,13,
%T A318448 1,24,-14,25,0,23,26,24,-31,33,28,27,-14,37,-6,38,13,15,34,41,-52,41,
%U A318448 22,40,19,48,-10,42,-10,45,46,53,-76,55,48,29,0,55,12,63,34,57,18,66,-98,69,64,42,37,64,16,73,-42,51,72,78,-74,74,74,73,6
%N A318448 a(n) = Sum_{d|n} A294898(d), where A294898(d) = A005187(d) - sigma(d).
%C A318448 Inverse Möbius transform of A294898.
%H A318448 Antti Karttunen, <a href="/A318448/b318448.txt">Table of n, a(n) for n = 1..65537</a>
%F A318448 a(n) = Sum_{d|n} A294898(d).
%F A318448 a(n) = A318447(n) + A294898(n).
%F A318448 a(n) = A318446(n) - A007429(n).
%F A318448 a(n) = A296075(n) - A093653(n).
%o A318448 (PARI)
%o A318448 A005187(n) = { my(s=n); while(n>>=1, s+=n); s; };
%o A318448 A294898(n) = (A005187(n) - sigma(n));
%o A318448 A318448(n) = sumdiv(n,d,A294898(d));
%Y A318448 Cf. A000203, A005187, A007429, A093653, A294898, A296075, A318446, A318447.
%Y A318448 Cf. also A297114, A317844.
%K A318448 sign
%O A318448 1,5
%A A318448 _Antti Karttunen_, Aug 27 2018