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 A291832 #4 Sep 03 2017 21:58:18
%S A291832 64,8192,139968,1048576,5000000,17915904,52706752,134217728,306110016,
%T A291832 640000000,1247178944,2293235712,4015905088,6746464256,10935000000,
%U A291832 17179869184,26261675072,39182082048,57207791296,81920000000,115269666624,159638904832,217908828608
%N A291832 Numbers k such that k^6 is sum of two positive 7th powers.
%C A291832 When a^7 + b^7 = m, (m^5*a)^7 + (m^5*b)^7 = m^36 is 6th power.
%C A291832 When k in this sequence, k*(n^7) (n = 2, 3, ... ) is also in this sequence.
%e A291832 64^6 = 32^7 + 32^7, so 64 is in the sequence.
%e A291832 (5000000)^6 = (500000)^7 + (500000)^7, so 5000000 is in the sequence.
%t A291832 lst={};Do[If[IntegerQ[(n^6-a^7)^(1/7)],AppendTo[lst,n]],{n,2.9*10^11},{a,(n^6/2)^(1/7)}]; lst
%Y A291832 Cf. A001014, A001015, A000404, A009003, A050801.
%K A291832 nonn
%O A291832 1,1
%A A291832 _XU Pingya_, Sep 03 2017