A195346 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)=(1,3,sqrt(10)).

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

Offset

1,3

Comments

See A195284 for definitions and a general discussion.

Links

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

Example

(C)=1.1847182944928008023884075593762398433974507...

Mathematica

a = 1; b = 3; c = Sqrt[10]; 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[%]  (* A195344 *)
N[x2, 100]
RealDigits[%] (* A195345 *)
N[x3, 100]
RealDigits[%] (* A195346 *)
N[(x1 + x2 + x3)/(a + b + c), 100]
RealDigits[%] (* A195347 *)

Crossrefs

Cf. A195284.

Sequence in context: A090469 A322743 A168546 * A096427 A176453 A257775

Adjacent sequences: A195343 A195344 A195345 * A195347 A195348 A195349

Keyword

nonn,cons

Author

Clark Kimberling, Sep 16 2011

Status

approved