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 A195384 Decimal expansion of shortest length, (C), of segment from side CA through incenter to side CB in right triangle ABC with sidelengths (a,b,c)=(2,sqrt(5),3). 5
 1, 7, 4, 8, 0, 6, 4, 0, 9, 7, 7, 9, 5, 2, 8, 4, 2, 8, 3, 1, 9, 7, 2, 0, 4, 8, 2, 0, 2, 2, 3, 0, 2, 0, 4, 5, 5, 1, 4, 9, 8, 8, 3, 2, 6, 3, 9, 4, 8, 2, 6, 8, 7, 5, 3, 6, 8, 0, 8, 2, 5, 1, 1, 4, 8, 0, 1, 8, 6, 1, 9, 6, 0, 1, 7, 7, 1, 3, 1, 1, 8, 2, 4, 9, 3, 8, 6, 0, 5, 7, 4, 0, 5, 1, 6, 5, 8, 7, 2, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A195284 for definitions and a general discussion. LINKS EXAMPLE (C)=1.74806409779528428319720482022302045514988... MATHEMATICA a = 2; b = Sqrt[5]; c = 3; f = 2 a*b/(a + b + c); x1 = Simplify[f*Sqrt[a^2 + (b + c)^2]/(b + c) ] x2 = Simplify[f*Sqrt[b^2 + (c + a)^2]/(c + a) ] x3 = f*Sqrt[2] N[x1, 100] RealDigits[%]   (* (A) A195381 *) N[x2, 100] RealDigits[%]   (* (B) A195383 *) N[x3, 100] RealDigits[%]   (* (C) A195384 *) N[(x1 + x2 + x3)/(a + b + c), 100] RealDigits[%]   (* Philo(ABC, I) A195385 *) CROSSREFS Cf. A195284. Sequence in context: A085541 A133055 A303133 * A021576 A222183 A010509 Adjacent sequences:  A195381 A195382 A195383 * A195385 A195386 A195387 KEYWORD nonn,cons AUTHOR Clark Kimberling, Sep 17 2011 STATUS approved

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Last modified January 22 10:13 EST 2022. Contains 350481 sequences. (Running on oeis4.)