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.

A067632 n(n+180) is a square.

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%I A067632 #4 Jun 11 2019 19:16:07
%S A067632 -2116,-768,-500,-324,-240,-196,-192,-180,0,12,16,60,144,320,588,1936
%N A067632 n(n+180) is a square.
%C A067632 Rewrite it as s^2 - t^2 = 90^2 to see that there are only finitely many solutions.
%D A067632 Albert H. Beiler, Recreations in the Theory of Numbers (2d ed. 1966), pp. 296, 317.
%e A067632 588 is included because 588 * (588 + 180) = 451584, the square root of which is 672.
%p A067632 isolve(n*(n+180)=m^2);
%t A067632 Select[Range[-2200,2200],IntegerQ[Sqrt[#(#+180)]]&] (* _Harvey P. Dale_, Jun 11 2019 *)
%K A067632 sign,fini,full
%O A067632 0,1
%A A067632 _Harvey P. Dale_, Feb 02 2002