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.

A331241 Integer values that can be assumed by the squared radius of the circumcircle of a triangle with integer sides.

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%I A331241 #9 Jan 13 2020 22:31:15
%S A331241 3,12,25,27,48,75,100,108,112,147,162,169,192,225,240,243,289,300,363,
%T A331241 400,405,432,448,507,588,625,648,675,676,768,841,867,891,900,960,972
%N A331241 Integer values that can be assumed by the squared radius of the circumcircle of a triangle with integer sides.
%C A331241 Values of A331227(k) at positions k for which A331228(k) = 1.
%F A331241 Squared radius of circumcircle of triangle with sides a, b, c:
%F A331241 R^2 = (a*b*c)^2 / (16*s*(s - a)*(s - b)*(s - c)) with s = (a + b + c)/2.
%e A331241 a(1) = 3, because the triangle with sides (3,3,3) is the first triangle for which R^2 has an integer value.
%e A331241 a(2) = 12: (6,6,6),
%e A331241 a(3) = 25: (6,8,10) scaled-up Pythagorean triangle (3,4,5),
%e A331241 a(4) = 27: (9,9,9),
%e A331241 a(5) = 48: (12,12,12),
%e A331241 ...
%e A331241 a(10) = 147: (9,15,21).
%Y A331241 Cf. A331227, A331228.
%K A331241 nonn,more
%O A331241 1,1
%A A331241 _Hugo Pfoertner_, Jan 13 2020