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A195400 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)=(sqrt(7),3,4). 5
1, 8, 0, 5, 6, 6, 4, 9, 1, 8, 5, 8, 0, 5, 4, 5, 8, 7, 9, 3, 3, 1, 1, 7, 8, 9, 9, 5, 1, 4, 7, 6, 5, 2, 7, 6, 5, 7, 1, 9, 6, 5, 4, 4, 2, 2, 5, 5, 6, 7, 3, 3, 0, 9, 2, 8, 4, 2, 2, 2, 0, 7, 2, 1, 0, 6, 5, 2, 4, 1, 5, 6, 9, 0, 2, 6, 2, 8, 8, 4, 9, 6, 3, 1, 9, 4, 7, 6, 1, 5, 1, 3, 6, 7, 2, 7, 5, 1, 8, 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

(B)=1.80566491858054587933117899514765276...

MATHEMATICA

a = Sqrt[7]; b = 3; c = 4;

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) A195399 *)

N[x2, 100]

RealDigits[%]    (* (B) A195400 *)

N[x3, 100]

RealDigits[%]    (* (C) A195401 *)

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

RealDigits[%]    (*  Philo(ABC, I) A195402 *)

CROSSREFS

Cf. A195284.

Sequence in context: A135001 A146293 A019724 * A132034 A190281 A107950

Adjacent sequences:  A195397 A195398 A195399 * A195401 A195402 A195403

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Sep 17 2011

STATUS

approved

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Last modified May 26 19:44 EDT 2019. Contains 323597 sequences. (Running on oeis4.)