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A055593 Second longest side of congruent triangles with integer sides and positive integer area, ordered by longest side, then second longest side and finally shortest side. 8
4, 5, 5, 8, 10, 12, 13, 12, 13, 14, 10, 10, 15, 17, 15, 13, 15, 16, 17, 20, 13, 15, 20, 17, 20, 24, 25, 24, 25, 25, 26, 25, 21, 25, 17, 24, 25, 25, 26, 28, 29, 20, 20, 30, 34, 28, 29, 34, 29, 30, 20, 26, 30, 35, 37, 25, 28, 34, 35, 36, 39, 25, 26, 29, 30, 32, 37, 39, 28, 40 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Ray Chandler, Table of n, a(n) for n = 1..10000

MATHEMATICA

max = 41; triangles = Reap[Do[s = (a+b+c)/2; area = Sqrt[s*(s-a)*(s-b)*(s-c)]; If[IntegerQ[area] && area > 0, Sow[{a, b, c, area}]], {a, 1, max}, {b, a, max}, {c, b, max}]][[2, 1]]; A055593 = Sort[triangles, #1[[3]]*max^2 + #1[[2]]*max + #1[[1]] < #2[[3]]* max^2 + #2[[2]]*max + #2[[1]] &][[All, 2]](* Jean-François Alcover, Jun 12 2012 *)

CROSSREFS

Cf. A055592, A055594, A055595.

Sequence in context: A190796 A070783 A198334 * A330923 A330915 A268604

Adjacent sequences:  A055590 A055591 A055592 * A055594 A055595 A055596

KEYWORD

nonn

AUTHOR

Henry Bottomley, May 26 2000

STATUS

approved

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Last modified June 21 19:59 EDT 2021. Contains 345365 sequences. (Running on oeis4.)