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A120133 Shortest side of primitive Heronian triangles, sorted on longest side(A120131), then on middle side(A120132) and finally on shortest side. 7
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 13 00:25 EST 2019. Contains 329083 sequences. (Running on oeis4.)