A195405 - OEIS

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A195405

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,sqrt(r),r), where r=(1+sqrt(5))/2 (the golden ratio).

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

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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

(C)=0.92487539105022513066262517351274541075260...

MATHEMATICA

a = 1; b = Sqrt[c]; c = (1 + Sqrt[5])/2;

f = 2 a*b/(a + b + c);