login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A195360 Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(2,5,sqrt(29)). 5
1, 9, 5, 0, 1, 2, 5, 7, 0, 6, 5, 2, 0, 6, 5, 8, 8, 2, 5, 3, 3, 8, 5, 5, 7, 6, 0, 7, 8, 2, 0, 1, 4, 3, 3, 9, 3, 1, 7, 9, 7, 7, 3, 5, 4, 4, 7, 5, 9, 4, 8, 0, 2, 4, 4, 4, 6, 7, 9, 8, 6, 5, 9, 9, 3, 8, 6, 1, 6, 8, 3, 7, 6, 0, 9, 3, 5, 9, 2, 7, 8, 1, 2, 8, 2, 9, 0, 9, 3, 6, 5, 9, 7, 8, 7, 0, 2, 0, 0, 6 (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

(B)=1.950125706520658825338557607820143393179773544...

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

Cf. A195284.

Sequence in context: A321575 A336610 A293100 * A177973 A145436 A199509

Adjacent sequences:  A195357 A195358 A195359 * A195361 A195362 A195363

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Sep 16 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 28 09:09 EDT 2022. Contains 354112 sequences. (Running on oeis4.)