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A195359 Decimal expansion of shortest length, (A), of segment from side AB through incenter to side AC in right triangle ABC with sidelengths (a,b,c)=(2,5,sqrt(29)). 5
1, 6, 4, 4, 5, 0, 8, 0, 6, 0, 3, 2, 3, 0, 2, 4, 2, 4, 9, 0, 0, 0, 2, 9, 9, 7, 3, 1, 4, 3, 0, 5, 1, 3, 3, 1, 4, 8, 7, 5, 9, 6, 6, 3, 2, 9, 1, 3, 1, 4, 2, 8, 2, 3, 4, 6, 5, 7, 9, 9, 0, 2, 4, 0, 2, 4, 4, 3, 1, 7, 7, 8, 7, 2, 2, 0, 2, 2, 3, 8, 3, 8, 8, 5, 5, 0, 3, 6, 2, 6, 4, 9, 3, 8, 6, 0, 2, 8, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A195284 for definitions and a general discussion.
LINKS
EXAMPLE
(A)=1.64450806032302424900029973143051331487596632913...
MATHEMATICA
a = 2; b = 5; c = Sqrt[29]; 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) A195359 *)
N[x2, 100]
RealDigits[%] (* (B) A195360 *)
N[x3, 100]
RealDigits[%] (* (C) A195361 *)
N[(x1 + x2 + x3)/(a + b + c), 100]
RealDigits[%] (* Philo(ABC, I) A195362 *)
CROSSREFS
Sequence in context: A029680 A201285 A317127 * A338303 A316162 A332431
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 16 2011
STATUS
approved

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Last modified March 28 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)