A195355 - OEIS

A195355

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

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

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OFFSET

1,2

COMMENTS

See A195284 for definitions and a general discussion.

LINKS

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

EXAMPLE

(A)=1.45696410161448598385109158713926698408228516810...

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) ]