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.

A232532 Positive numbers not of the form x^2 - 3*y^2; complement of A084916.

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%I A232532 #51 Jun 06 2022 08:17:23
%S A232532 2,3,5,7,8,10,11,12,14,15,17,18,19,20,21,23,26,27,28,29,30,31,32,34,
%T A232532 35,38,39,40,41,42,43,44,45,47,48,50,51,53,55,56,57,58,59,60,62,63,65,
%U A232532 66,67,68,70,71,72,74,75,76,77,79,80,82,83,84,85,86,87,89,90,91,92,93,95,98,99
%N A232532 Positive numbers not of the form x^2 - 3*y^2; complement of A084916.
%C A232532 Previous name was: Numbers j such that the equation a^2 + 3*j*b^2 = 3*c^2 + j*d^2 has no solutions in positive integers for a, b, c, d.
%C A232532 If j is in the sequence, so is j*k^2 for any positive integer k. - _Charles R Greathouse IV_, Dec 13 2013
%H A232532 V. Raman, <a href="/A232532/a232532.txt">Proof for individual terms</a>
%o A232532 (PARI) for(n=1,99, if ([]==qfbsolve(Qfb(1,0,-3),n,2),print1(n,", "))); \\ _Joerg Arndt_, Jun 05 2022
%Y A232532 Cf. A084916 (complement).
%Y A232532 Cf. A232531, A232681, A232682.
%K A232532 nonn
%O A232532 1,1
%A A232532 _V. Raman_, Nov 25 2013
%E A232532 Six more terms from _V. Raman_, Dec 13 2013
%E A232532 Edited by and better name from _Jon E. Schoenfield_ and _Joerg Arndt_, Jun 05 2022