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.
%I A318674 #12 Jun 06 2025 08:34:24 %S A318674 1,1,1,1,1,7,1,1,1,11,1,7,1,15,16,1,1,7,1,11,22,23,1,7,1,27,1,15,1,32, %T A318674 1,1,34,35,36,7,1,39,40,11,1,42,1,23,16,47,1,7,1,11,52,27,1,7,56,15, %U A318674 58,59,1,32,1,63,22,1,66,62,1,35,70,60,1,7,1,75,16,39,78,72,1,11,1,83,1,42,86,87,88,23,1,32,92,47 %N A318674 Sum of squarefree divisors of n that have an even number of prime factors. %H A318674 Antti Karttunen, <a href="/A318674/b318674.txt">Table of n, a(n) for n = 1..65537</a> %F A318674 a(n) = Sum_{d|n} [A008683(d) > 0]*d. %F A318674 a(n) = A048250(n) - A318675(n). %F A318674 For all n >= 1, a(n) <= A318676(n). %F A318674 a(n) = (A048250(n) + A023900(n))/2. - _Amiram Eldar_, Jun 06 2025 %t A318674 a[n_] := DivisorSum[n, # &, MoebiusMu[#] == 1 &]; Array[a, 100] (* _Amiram Eldar_, Jun 06 2025 *) %o A318674 (PARI) A318674(n) = sumdiv(n,d,(1==moebius(d))*d); %Y A318674 Cf. A023900, A048250, A166142, A284118, A291784, A318675, A318676. %K A318674 nonn %O A318674 1,6 %A A318674 _Antti Karttunen_, Sep 04 2018