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 A072294 Areas of primitive Heronian triangles sorted by longest side, then by middle side and finally shortest side. 6
 6, 12, 12, 30, 60, 24, 84, 36, 60, 120, 66, 42, 84, 126, 60, 90, 84, 168, 36, 204, 210, 210, 60, 120, 132, 72, 84, 252, 360, 114, 156, 180, 210, 420, 120, 210, 420, 168, 420, 240, 468, 126, 180, 336, 360, 420, 264, 330, 252, 168, 504, 420, 780, 420, 306, 456, 156 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Ray Chandler, Table of n, a(n) for n = 1..10000 (first 2197 terms from Zak Seidov) A. Dendane, Heron's Formula for Area of a Triangle-Geometry Calculator Zak Seidov, Table of n=1..6093, A072294(n), A120131(n), A120132(n), A120133(n) (with A120131(n) <=1000) Michael Somos, Heronian Triangle Table P. Yiu, Heron triangles with sides < 100 Appendix Chap. 9.3 pp. 81/360 in 'Recreational Mathematics'. MATHEMATICA 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 *) CROSSREFS Cf. A120131, A120132, A120133, A055595. Sequence in context: A331209 A063722 A323058 * A181797 A185152 A028588 Adjacent sequences: A072291 A072292 A072293 * A072295 A072296 A072297 KEYWORD nonn AUTHOR Lekraj Beedassy, Jul 12 2002 EXTENSIONS More terms from Ray Chandler, Jul 02 2004 STATUS approved

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Last modified June 3 13:22 EDT 2023. Contains 363110 sequences. (Running on oeis4.)