A195356 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)=(2,3,sqrt(13)).

1, 5, 8, 1, 5, 9, 1, 1, 2, 9, 5, 2, 1, 7, 3, 0, 5, 5, 3, 1, 7, 8, 2, 9, 6, 3, 5, 5, 1, 3, 5, 5, 6, 8, 9, 5, 2, 4, 4, 0, 1, 8, 4, 5, 8, 7, 1, 8, 9, 7, 9, 8, 8, 5, 5, 4, 4, 2, 0, 2, 8, 5, 4, 7, 5, 5, 6, 6, 3, 1, 7, 7, 9, 6, 4, 2, 4, 6, 9, 2, 3, 1, 6, 9, 4, 6, 5, 9, 2, 9, 8, 7, 0, 0, 9, 3, 2, 0, 5, 7

Offset

1,2

Comments

See A195284 for definitions and a general discussion.

Links

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

Example

(B)=1.58159112952173055317829635513556895244018458718979885544...

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: A330867 A193743 A372869 * A263497 A198139 A247277

Adjacent sequences: A195353 A195354 A195355 * A195357 A195358 A195359

Keyword

nonn,cons

Author

Clark Kimberling, Sep 16 2011

Status

approved