A120131 Longest side of primitive Heronian triangles, sorted.

5, 6, 8, 13, 13, 15, 15, 17, 17, 17, 20, 20, 21, 21, 24, 25, 25, 25, 26, 26, 28, 29, 29, 30, 30, 30, 35, 35, 36, 37, 37, 37, 37, 37, 39, 39, 39, 39, 40, 40, 40, 41, 41, 41, 41, 42, 44, 44, 45, 48, 48, 50, 50, 51, 51, 51, 51, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 55, 55, 56

Offset

1,1

Links

Giovanni Resta, Table of n, a(n) for n = 1..10000

Michael Somos, Heronian Triangle Table

P. Yiu, Heron triangles with sides < 100, Recreational Mathematics, Appendix Chap. 9.3 pp. 81/360. (This is a download of 360 pages.)

Mathematica

hQ[a_, b_, c_] := IntegerQ@ Sqrt@ Block[{s = (a+b+c)/2}, s (s-a) (s-b) (s-c)]; Reap[Do[If[ GCD[a, b, c] == 1 && hQ[a, b, c], Sow@ a], {a, 60}, {b, a}, {c, a-b+1, b}]][[2, 1]] (* Giovanni Resta, May 21 2016 *)

Crossrefs

Cf. A055592, A120132, A120133, A072294, A306626.

Sequence in context: A032721 A105106 A140504 * A047437 A188054 A276374

Adjacent sequences: A120128 A120129 A120130 * A120132 A120133 A120134

Keyword

nonn

Author

Lekraj Beedassy, Jun 10 2006

Status

approved