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.

A273822 Integers k such that k^3 + 1 is the average of two positive cubes.

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%I A273822 #31 Jul 18 2025 14:44:51
%S A273822 27,227,335,2387,9299,104571,113519,118499,212343,258999,328499,
%T A273822 455600,699891,820755,971360,977051,1059239,1119723,1193631,1421367,
%U A273822 1604084,2231999,2794067,4191431,5450948,6054611,6769607,7672391,7760639,7875035,8091615,9606203,15511268
%N A273822 Integers k such that k^3 + 1 is the average of two positive cubes.
%H A273822 Chai Wah Wu, <a href="/A273822/b273822.txt">Table of n, a(n) for n = 1..44</a>
%e A273822 27 is a term because 27^3 + 1 = (4^3 + 34^3)/2.
%o A273822 (PARI) isA003325(n) = for(k=1, sqrtnint(n\2, 3), ispower(n-k^3, 3) && return(1));
%o A273822 lista(nn) = for(n=1, nn, if(isA003325(2*(n^3+1)), print1(n, ", ")));
%Y A273822 Cf. A001093, A003325.
%K A273822 nonn
%O A273822 1,1
%A A273822 _Altug Alkan_, May 31 2016
%E A273822 a(9)-a(12) from _Giovanni Resta_, Jun 01 2016
%E A273822 a(13)-a(33) from _Chai Wah Wu_, Jun 19 2016