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.

A292313 Numbers that are the sum of three squares in arithmetic progression.

This page as a plain text file.
%I A292313 #26 Oct 06 2017 01:56:24
%S A292313 75,300,507,675,867,1200,1875,2028,2523,2700,3468,3675,4107,4563,4800,
%T A292313 5043,6075,7500,7803,8112,8427,9075,10092,10800,11163,12675,13872,
%U A292313 14700,15987,16428,16875,18252,19200,20172,21675,22707,23763,24300,24843,27075,28227,30000,30603
%N A292313 Numbers that are the sum of three squares in arithmetic progression.
%H A292313 Chai Wah Wu, <a href="/A292313/b292313.txt">Table of n, a(n) for n = 1..10000</a>
%F A292313 Sequence is 3*(distinct elements in A198385).
%F A292313 Numbers of the form 3*m^2 where 2*m^2 is in A004431. - _Chai Wah Wu_, Oct 05 2017
%e A292313 75 = 1^2 + 5^2 + 7^2 = 1 + 25 + 49, with 25 - 1 = 49 - 25 = 24.
%e A292313 675 = 3^2 + 15^2 + 21^2 = 9 + 225 + 441, with 225 - 9 = 441 - 225 = 216.
%o A292313 (PARI) t=4; k=3; while(t<=13000, i=k; e=0; v=t+i; while(i>1&&e==0, if(issquare(v), m=3*t; e=1; print1(m,", ")); i+=-2; v+=i); k+=2; t+=k)
%Y A292313 Subsequence of A033428.
%Y A292313 Cf. A000290, A000378, A004431, A134422, A292309, A292310, A292314, A292316.
%K A292313 nonn
%O A292313 1,1
%A A292313 _Antonio Roldán_, Sep 14 2017