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 A216472 #19 Aug 27 2020 05:41:49
%S A216472 1,7,2269,4129151,30762501251,2239747210,27448639374405504361,
%T A216472 2413133306001931169183743,382044091289242990177493431399,
%U A216472 92389875896827641843360078,41175701028835553188828526348886198418157,251171485090270512606177135871202294053615
%N A216472 Smallest k such that k*n^5 + 1 is an n-th power.
%e A216472 a(3) = 2269 because 2269*3^5 + 1 = 551368 = 82^3.
%t A216472 a={}; Do[k = 2; While[ !IntegerQ[(k^n - 1)/n^5], k++ ]; AppendTo[a, (k^n-1)/n^5], {n, 1, 20}]; a
%Y A216472 Cf. A076943, A193746, A216439, A216471.
%K A216472 nonn
%O A216472 1,2
%A A216472 _Michel Lagneau_, Sep 10 2012