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 A274367 #13 Jun 20 2016 06:02:50 %S A274367 27445392,1644443281,2367885312,5687433577,112416325632,208265121792, %T A274367 900069054976,1976398601697,6735639678976,9698858237952,9911785815477, %U A274367 14585606569872,15283760730112,18156501172017,23295727931392,29871321586561,33510832422912,67250060669952 %N A274367 Taxi-cab numbers (A001235) that are of the form x^2 + y^4 in more than one way (x, y > 0). %C A274367 A272701(3) = 27445392 is the least number with the property that sequence focuses on. %C A274367 If n = a^3 + b^3 = c^3 + d^3 = x^2 + y^4 = z^2 + t^4, then n*k^12 = (a*k^4)^3 + (b*k^4)^3 = (c*k^4)^3 + (d*k^4)^3 = (x*k^6)^2 + (y*k^3)^4 = (z*k^6)^2 + (t*k^3)^4. So if n is this sequence, then n*k^12 is also in this sequence for all k > 1. %e A274367 27445392 is a term because 27445392 = 141^3 + 291^3 = 198^3 + 270^3 = 756^2 + 72^4 = 5076^2 + 36^4. %e A274367 112416325632 is a term because 112416325632 = 27445392*2^12. %Y A274367 Cf. A001235, A111925, A272701. %K A274367 nonn %O A274367 1,1 %A A274367 _Altug Alkan_, Jun 19 2016 %E A274367 a(2)-a(18) from _Giovanni Resta_, Jun 19 2016