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A195357 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)=(2,3,sqrt(13)). 5
1, 9, 7, 2, 0, 4, 8, 2, 9, 8, 2, 7, 2, 6, 9, 0, 4, 1, 3, 9, 8, 0, 2, 1, 9, 5, 1, 2, 0, 2, 5, 7, 0, 8, 4, 0, 3, 2, 8, 4, 5, 8, 8, 4, 3, 0, 7, 8, 5, 1, 4, 3, 9, 5, 8, 2, 9, 8, 4, 2, 7, 8, 8, 5, 5, 2, 7, 7, 2, 8, 7, 6, 0, 2, 4, 8, 3, 1, 0, 9, 9, 8, 6, 6, 3, 5, 8, 8, 8, 2, 0, 5, 4, 4, 2, 7, 5, 8, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A195284 for definitions and a general discussion.

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

(C)=1.97204829827269041398021951202570840328458843078514...

MATHEMATICA

a = 2; b = 3; c = Sqrt[13]; 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) A195355 *)

N[x2, 100]

RealDigits[%](* (B) A195356 *)

N[x3, 100]

RealDigits[%](* (C) A195357 *)

N[(x1 + x2 + x3)/(a + b + c), 100]

RealDigits[%](* Philo(ABC, I) A195358 *)

CROSSREFS

Cf. A195284.

Sequence in context: A154396 A069611 A083995 * A328968 A267316 A021511

Adjacent sequences:  A195354 A195355 A195356 * A195358 A195359 A195360

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Sep 16 2011

STATUS

approved

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Last modified September 26 20:36 EDT 2020. Contains 337374 sequences. (Running on oeis4.)