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 A070209 Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer inradius. 5
 17, 116, 212, 269, 368, 370, 493, 561, 587, 659, 850, 1204, 1297, 1582, 1599, 1629, 1920, 1988, 2115, 2352, 2555, 2574, 2774, 2778, 3251, 3473, 3746, 3751, 4286, 4298, 4307, 4313, 4319, 4330, 4370, 4406, 5008, 5251 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Mohammad K. Azarian, Circumradius and Inradius, Problem S125, Math Horizons, Vol. 15, Issue 4, April 2008, p. 32. Solution published in Vol. 16, Issue 2, November 2008, p. 32. LINKS Table of n, a(n) for n=1..38. Eric Weisstein's World of Mathematics, Incircle. R. Zumkeller, Integer-sided triangles EXAMPLE a(3)=212: [A070080(212), A070081(212), A070082(212)] = [5,12,13], for s = A070083(212)/2 = (5+12+13)/2 = 15: inradius = sqrt((s-5)*(s-12)*(s-13)/s) = sqrt(10*3*2/15) = sqrt(4) = 2; therefore A070200(212)=2. [Corrected by Rick L. Shepherd, May 15 2008] CROSSREFS Cf. A070142, A070201, A051516. Sequence in context: A349879 A226688 A070144 * A070136 A196643 A196598 Adjacent sequences: A070206 A070207 A070208 * A070210 A070211 A070212 KEYWORD nonn AUTHOR Reinhard Zumkeller, May 05 2002 STATUS approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)