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.

A103249 Numbers y, without duplication, in Pythagorean triples x,y,z where x,y,z are relatively prime composite numbers and x is a perfect square.

This page as a plain text file.
%I A103249 #20 Nov 14 2019 17:52:13
%S A103249 3,12,17,27,48,63,68,75,77,99,108,147,153,192,243,252,272,300,301,308,
%T A103249 323,363,396,399,425,432,507,561,567,577,588,612,621,675,693,768,833,
%U A103249 867,891,943,972,1008,1023,1083,1088,1200,1204,1232,1292,1323,1377,1377
%N A103249 Numbers y, without duplication, in Pythagorean triples x,y,z where x,y,z are relatively prime composite numbers and x is a perfect square.
%C A103249 There exists no case in which x and y are both squares.
%H A103249 MathForFun, <a href="http://groups.yahoo.com/group/mathforfun/message/9962">Pythagorean triples</a>
%H A103249 Chenglong Zou, Peter Otzen, Cino Hilliard, <a href="/A103246/a103246.txt">Pythagorean triplets</a>, digest of 6 messages in mathfun Yahoo group, Mar 19, 2005.
%e A103249 y=3, x=4, 4^2 + 3^2 = 5^2. 3 is the 1st entry in the list.
%o A103249 (PARI) pythtrisq(n) = { local(a,b,c=0,k,x,y,z,vy,j); w = vector(n*n+1); for(a=1,n, for(b=1,n, x=2*a*b; y=b^2-a^2; z=b^2+a^2; if(y > 0 & issquare(x), c++; w[c]=y; print(x","y","z) ) ) ); vy=vector(c); w=vecsort(w); for(j=1,n*n, if(w[j]>0, k++; vy[k]=w[j]; ) ); for(j=1,200, print1(vy[j]",") ) }
%K A103249 easy,nonn
%O A103249 1,1
%A A103249 _Cino Hilliard_, Mar 19 2005