cp's OEIS Frontend

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.

A050793 Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1 or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791), and increasing values of y in case of ties. Sequence gives values of y.

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%I A050793 #40 Feb 16 2025 08:32:40
%S A050793 10,94,144,235,438,729,1537,1738,1897,2304,3518,4528,5625,8343,9036,
%T A050793 9735,11664,11468,19386,21609,31180,35442,36864,33412,38782,35385,
%U A050793 41167,44521,51762,59049,50920,72629,76903,83692,67402,80020,90000
%N A050793 Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1<x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791), and increasing values of y in case of ties. Sequence gives values of y.
%C A050793 Values of y associated with A050794.
%D A050793 Ian Stewart, "Game, Set and Math", Chapter 8, 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
%H A050793 Lewis Mammel, <a href="/A050793/b050793.txt">Table of n, a(n) for n = 1..368</a>
%H A050793 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DiophantineEquation3rdPowers.html">Diophantine Equation - 3rd Powers</a>
%e A050793 For the 10th term where y is 2304, 577^3 + 2304^3 = 2316^3 + 1.
%Y A050793 Cf. A050791, A050792, A050794.
%K A050793 nonn
%O A050793 1,1
%A A050793 _Patrick De Geest_, Sep 15 1999
%E A050793 More terms from _Michel ten Voorde_; no more with z<8192.
%E A050793 Extended through 44521 by _Jud McCranie_, Dec 25 2000
%E A050793 More terms from _Don Reble_, Nov 29 2001
%E A050793 Edited by _N. J. A. Sloane_, May 08 2007