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 A378549 #9 Dec 01 2024 10:05:14 %S A378549 0,1,1,3,1,6,1,7,3,8,1,16,1,10,8,15,1,19,1,22,10,14,1,36,5,16,10,28,1, %T A378549 40,1,31,14,20,12,51,1,22,16,50,1,52,1,40,25,26,1,76,7,41,20,46,1,60, %U A378549 16,64,22,32,1,104,1,34,31,63,18,76,1,58,26,72,1,115,1,40,41,64,18,88,1,106,30,44,1,136,22,46,32 %N A378549 Sum of divisors d of n such that n/d is not an odd number with an even number of prime factors (counted with multiplicity). %C A378549 Agrees with A378543 on odd n. %H A378549 Antti Karttunen, <a href="/A378549/b378549.txt">Table of n, a(n) for n = 1..20000</a> %H A378549 <a href="/index/Su#sums_of_divisors">Index entries for sequences related to sums of divisors</a>. %F A378549 a(n) = Sum_{d|n} (1-A353557(d))*(n/d). %F A378549 a(n) = A000203(n) - A378548(n). %o A378549 (PARI) %o A378549 A353557(n) = ((n%2)&&(!(bigomega(n)%2))); %o A378549 A378549(n) = sumdiv(n,d,(1-A353557(d))*(n/d)); %Y A378549 Cf. A000203, A353557, A378548. %Y A378549 Cf. also A378543, A378547. %K A378549 nonn %O A378549 1,4 %A A378549 _Antti Karttunen_, Dec 01 2024