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 A368812 #29 Jan 12 2024 10:05:06 %S A368812 1,4,8,9,11,16,25,27,31,32,36,41,44,49,61,71,72,81,88,99,100,101,108, %T A368812 121,124,125,128,131,144,151,164,169,176,181,191,196,200,211,216,225, %U A368812 241,243,244,248,251,256,271,275,279,281,284,288,289,297,311,324,328,331,341,343,352,361,369,392,396,400,401,404 %N A368812 Numbers m such that Sum_{k=0..m-1} exp(2*Pi*i*k^5/m) != 0. %C A368812 Connect lines between the consecutive partial sums of Sum_{k=0..m-1} exp(2*Pi*i*k^5/m) != 0; this sequence gives values of m for which the resulting graph is "infinite." %C A368812 A368959 is the intersection of all such sequences over exp(2*Pi*i*k^s/m), where s >= 2. Especially, all terms from A368959 are also here. - _Vaclav Kotesovec_, Jan 10 2024 %e A368812 4 is a term because Sum_{k=0..3} exp(2*Pi*i*k^5/4) = 2 != 0. %e A368812 11 is a term because Sum_{k=0..10} exp(2*Pi*i*k^5/11) = 1 + 10*cos(2*Pi/11) != 0. %e A368812 12 is not a term because Sum_{k=0..11} exp(2*Pi*i*k^5/12) = 0. %Y A368812 Cf. A001074, A042965 (Sum_{k=0..m-1} exp(2*Pi*i*k^(2n)/m) != 0 for all n>0). %Y A368812 Cf. A368959. %K A368812 easy,nonn %O A368812 1,2 %A A368812 _Kevin Ge_, Jan 06 2024