A120133 Shortest side of primitive Heronian triangles, sorted on longest side(A120131), then on middle side(A120132) and finally on shortest side.

3, 5, 5, 5, 10, 4, 13, 9, 8, 16, 11, 7, 10, 13, 13, 12, 7, 14, 3, 17, 17, 20, 6, 17, 11, 5, 8, 15, 25, 19, 15, 13, 12, 24, 16, 17, 25, 10, 29, 13, 25, 15, 9, 17, 18, 29, 15, 17, 13, 25, 29, 21, 39, 26, 20, 25, 13, 27, 25, 37, 15, 5, 25, 24, 28, 4, 51, 26, 20, 25, 53, 33, 41, 17, 15, 11

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@c], {a, 60}, {b, a}, {c, a-b+1, b}]][[2, 1]] (* Giovanni Resta, May 21 2016 *)

Crossrefs

Cf. A120131, A120132, A072294.

Sequence in context: A290561 A278545 A023828 * A088961 A079090 A182262

Adjacent sequences: A120130 A120131 A120132 * A120134 A120135 A120136

Keyword

nonn

Author

Lekraj Beedassy, Jun 10 2006

Status

approved