A195401 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)=(sqrt(7),3,4).

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

Offset

1,1

Comments

See A195284 for definitions and a general discussion.

Links

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

Example

(C)=2.32744382440084633678206000810685122318...

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: A319374 A205687 A118007 * A158747 A260724 A256581

Adjacent sequences: A195398 A195399 A195400 * A195402 A195403 A195404

Keyword

nonn,cons

Author

Clark Kimberling, Sep 17 2011

Status

approved