A195362 - OEIS

A195362

Decimal expansion of normalized Philo sum, Philo(ABC,I), where I=incenter of a 2,5,sqrt(29) right triangle ABC.

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

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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

Philo(ABC,I)=0.4746287747584270516471193113995166804876...

MATHEMATICA

a = 2; b = 5; c = Sqrt[29]; f = 2 a*b/(a + b + c);

x1 = Simplify[f*Sqrt[a^2 + (b + c)^2]/(b + c) ]