A195344 - OEIS

A195344

Decimal expansion of shortest length, (A), of segment from side AB through incenter to side AC in right triangle ABC with sidelengths (a,b,c)=(1,3,sqrt(10)).

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

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OFFSET

0,1

COMMENTS

See A195284 for definitions and a general discussion.

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

(A)=0.84868096879341596813098974830298515938184618...

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) ]