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 A368459 #9 Oct 07 2024 02:04:00
%S A368459 6,8,10,12,14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,36,38,39,40,
%T A368459 42,44,45,46,48,50,51,52,54,55,56,57,58,60,62,63,64,65,66,68,69,70,72,
%U A368459 74,75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95
%N A368459 Numbers k such that 2*(Bacher(k) - sigma(k)) + k + 1 < 0.
%C A368459 Complementary to A368458, this sequence lists the indices of negative values of A368457. See the comments in A368458.
%C A368459 In summary, A368458 U A368459 U Primes U {35, ...} decomposes the positive integers into disjoint sets, whereby the nature of the fourth set is currently unclear; probably, it has only 35 as a member.
%H A368459 Roland Bacher, <a href="https://doi.org/10.1080/00029890.2023.2242034">A quixotic proof of Fermat's two squares theorem for prime numbers</a>, American Mathematical Monthly, Vol. 130, No. 9 (November 2023), 824-836; <a href="https://arxiv.org/abs/2210.07657">arXiv version</a>, arXiv:2210.07657 [math.NT], 2022.
%F A368459 k is a term <=> A368457(k) < 0 <=> 2*(A368207(k) - A000203(k)) + k + 1 < 0.
%o A368459 (Julia)
%o A368459 println([n for n in 1:95 if A368457(n) < 0])
%Y A368459 Cf. A000203, A100484, A001248, A368207, A368457, A368458, A368460.
%K A368459 nonn
%O A368459 1,1
%A A368459 _Peter Luschny_, Dec 26 2023