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 A348854 #21 Dec 19 2021 15:58:59 %S A348854 2,4,6,8,9,12,12,16,17,20,18,24,21,27,28,32,27,36,30,40,39,41,36,48, %T A348854 42,48,49,56,45,60,48,64 %N A348854 a(n) is the total length of all line segments in an octant of the symmetric representation of sigma(n). %C A348854 One half of the total length of all line segments of the symmetric representation of sigma(n). %C A348854 If the symmetric representation of sigma(n) has only one part (cf. A174973) or if it has two parts and they meet at the center of the Dyck path (cf. A262259) then a(n) = 2*n, otherwise a(n) < 2*n. In other words: if n is a term of A279029 then a(n) = 2*n, otherwise a(n) < 2*n. %F A348854 a(n) = A348705(n)/2. %Y A348854 Cf. A005843 (upper bounds). %Y A348854 For illustrations see A348705. %Y A348854 Cf. A174973, A235791, A236104, A237270, A237271, A237591, A237593, A238443, A239660, A239931-A239934, A245092, A262259, A279029. %K A348854 nonn,more %O A348854 1,1 %A A348854 _Omar E. Pol_, Nov 01 2021