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.

A072294 Areas of primitive Heronian triangles sorted by longest side, then by middle side and finally shortest side.

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%I A072294 #31 Nov 14 2019 15:40:13
%S A072294 6,12,12,30,60,24,84,36,60,120,66,42,84,126,60,90,84,168,36,204,210,
%T A072294 210,60,120,132,72,84,252,360,114,156,180,210,420,120,210,420,168,420,
%U A072294 240,468,126,180,336,360,420,264,330,252,168,504,420,780,420,306,456,156
%N A072294 Areas of primitive Heronian triangles sorted by longest side, then by middle side and finally shortest side.
%H A072294 Ray Chandler, <a href="/A072294/b072294.txt">Table of n, a(n) for n = 1..10000</a> (first 2197 terms from Zak Seidov)
%H A072294 A. Dendane, <a href="http://www.analyzemath.com/Geometry_calculators/herons_area_triangle.html">Heron's Formula for Area of a Triangle-Geometry Calculator</a>
%H A072294 Zak Seidov, <a href="/A072294/a072294_1.txt">Table of n=1..6093, A072294(n), A120131(n), A120132(n), A120133(n)</a> (with A120131(n) <=1000)
%H A072294 Michael Somos, <a href="http://grail.eecs.csuohio.edu/~somos/tritab.html">Heronian Triangle Table</a>
%H A072294 P. Yiu, <a href="http://math.fau.edu/yiu/RecreationalMathematics2003.pdf">Heron triangles with sides < 100</a> Appendix Chap. 9.3 pp. 81/360 in 'Recreational Mathematics'.
%t A072294 nn = 200; lst = {}; Do[s = (a + b + c)/2; If[IntegerQ[s] && GCD[a, b, c] == 1, area2 = s (s - a) (s - b) (s - c); If[area2 > 0 && IntegerQ[Sqrt[area2]], AppendTo[lst, Sqrt[area2]]]], {a, nn}, {b, a}, {c, b}]; lst (* _T. D. Noe_, Mar 23 2011 *)
%Y A072294 Cf. A120131, A120132, A120133, A055595.
%K A072294 nonn
%O A072294 1,1
%A A072294 _Lekraj Beedassy_, Jul 12 2002
%E A072294 More terms from _Ray Chandler_, Jul 02 2004