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 A303265 #5 Apr 25 2018 14:00:58 %S A303265 64,625,11664,19208,23328,134456,331776,331776,531441,923521 %N A303265 Least y for which x^3 + y^4 = z^5 for some x > 1 and z = A300565(n). %C A303265 The values listed here are the y-values corresponding to the z-values listed in A300565. The x-values are then readily computed as (z^6 - y^5)^(1/4). %C A303265 See the main entry A300565 for all further information. %e A303265 A300565(1) = 32 is the smallest z such that z^5 = x^3 + y^4 for some x, y > 1, and the smallest such y is a(1) = 64. It then follows that x = (32^5 - 64^4)^(1/3) = (2^24)^(1/3) = 256. %e A303265 A300565(2) = 250 is the second smallest z such that z^5 = x^3 + y^4 for some x, y > 1, and the smallest corresponding y is a(2) = 625. It then follows that x = (250^5 - 625^4)^(1/3) = 9375. %e A303265 A300565(3) = 1944 is the next larger z such that z^5 = x^3 + y^4 for some x, y > 1, and the smallest corresponding y is a(2) = 11664. It then follows that x = (1944^5 - 11664^4)^(1/3) = 209952. %K A303265 nonn,more %O A303265 1,1 %A A303265 _M. F. Hasler_, Apr 23 2018