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A120132 Middle side of primitive Heronian triangles, sorted on longest side (A120131), then on middle side. 7
4, 5, 5, 12, 13, 13, 14, 10, 15, 17, 13, 15, 17, 20, 13, 17, 24, 25, 25, 25, 25, 21, 25, 17, 25, 29, 29, 34, 29, 20, 26, 30, 35, 37, 25, 28, 34, 35, 29, 37, 39, 28, 40, 40, 41, 29, 37, 39, 40, 25, 35, 41, 41, 35, 37, 38, 40, 29, 33, 39, 41, 51, 51, 35, 45, 51, 52, 51, 53, 39 (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 < 300, 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@ b], {a, 60}, {b, a}, {c, a-b+1, b}]][[2, 1]] (* Giovanni Resta, May 21 2016 *)

CROSSREFS

Cf. A120131, A120133, A072294.

Sequence in context: A154857 A019314 A195598 * A154914 A154916 A327703

Adjacent sequences:  A120129 A120130 A120131 * A120133 A120134 A120135

KEYWORD

nonn,changed

AUTHOR

Lekraj Beedassy, Jun 10 2006

STATUS

approved

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Last modified November 16 17:04 EST 2019. Contains 329201 sequences. (Running on oeis4.)