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 A177760 #14 Jun 11 2025 10:04:18 %S A177760 1,2,1,5,3,1,2,1,23,2,1,27,3,1,2,1,4,2,1,3,2,7,1,2,3,1,5,4,2,1,6,3,2, %T A177760 1,12,2,1,3,4,1,2,5,3,1,2,4,3,1,2,1,6,2,3,21,4,7,5,8,1,2,73,3,1,2,4,3, %U A177760 26,1,2,5,1,3,9,10,2,4,6,20,1,3,2,11,1,4,2,5,3,7,1,2,3,4,1,6,29,2,3,5,8,1 %N A177760 Values m in solutions of the Thue equation s^2 = m^5+z, sorted along increasing z. %C A177760 The equation has solutions for the positive z listed in A152412. %C A177760 A177761 and this sequence here show pairs (s,m) that solve given these z>0. (The case z=0 has infinitely many solutions which are not included here.) %C A177760 There is no 1-to-1 relation to these z because more than one (s,m) may exist for some z, in case of which all are listed here. %F A177760 A177761(n)^2 = a(n)^5 + A152412(k) for some k>1. %e A177760 (s=59, m=5=a(57), z=356) and (s=182, m=8=a(58), z=356) are solutions associated with z = A152412(57) =356. %e A177760 (s=20, m=2=a(60), z=368) and (s=45531, m=73=a(61), z=368) are solutions associated with z = A152412(59) =368. %Y A177760 Cf. A152412, A177761. %K A177760 nonn %O A177760 1,2 %A A177760 _Artur Jasinski_, May 13 2010 %E A177760 Examples and comment on coverage of multiple solutions added - _R. J. Mathar_, Aug 08 2010