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 A195385 Decimal expansion of normalized Philo sum, Philo(ABC,I), where I=incenter of a 2,sqrt(5),3 right triangle ABC. 5
 6, 1, 1, 5, 5, 8, 3, 5, 1, 2, 7, 9, 6, 6, 4, 1, 3, 0, 6, 5, 6, 7, 7, 9, 3, 2, 2, 4, 2, 8, 8, 4, 4, 3, 2, 7, 0, 7, 7, 7, 0, 6, 7, 2, 5, 0, 0, 1, 8, 5, 3, 0, 9, 3, 1, 9, 2, 6, 0, 2, 3, 8, 0, 2, 9, 1, 7, 4, 6, 7, 0, 8, 6, 0, 9, 1, 9, 8, 1, 4, 4, 8, 1, 2, 6, 1, 1, 2, 9, 5, 1, 3, 1, 2, 6, 9, 9, 1, 5, 3, 7, 8, 6, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See A195284 for definitions and a general discussion. LINKS EXAMPLE Philo(ABC,I)=0.6115583512796641306567793224288443270777... 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: A335505 A182429 A325385 * A319990 A138073 A131778 Adjacent sequences:  A195382 A195383 A195384 * A195386 A195387 A195388 KEYWORD nonn,cons AUTHOR Clark Kimberling, Sep 17 2011 EXTENSIONS a(99) corrected by Georg Fischer, Jul 18 2021 STATUS approved

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Last modified January 25 11:49 EST 2022. Contains 350567 sequences. (Running on oeis4.)