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A195358 Decimal expansion of normalized Philo sum, Philo(ABC,I), where I=incenter of a 2,3,sqrt(13) right triangle ABC. 5
5, 8, 2, 2, 5, 2, 4, 7, 5, 0, 6, 1, 6, 5, 6, 9, 9, 2, 6, 4, 7, 3, 2, 2, 5, 5, 2, 4, 7, 7, 4, 9, 0, 5, 1, 0, 4, 8, 9, 8, 0, 6, 4, 4, 4, 1, 1, 5, 6, 7, 0, 1, 2, 1, 2, 4, 4, 8, 2, 9, 2, 1, 7, 2, 0, 3, 2, 9, 1, 2, 3, 8, 5, 6, 7, 8, 0, 4, 2, 1, 2, 2, 1, 4, 0, 2, 4, 9, 7, 8, 8, 3, 7, 7, 0, 7, 4, 6, 6, 0, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A195284 for definitions and a general discussion.

LINKS

Table of n, a(n) for n=0..100.

EXAMPLE

Philo(ABC,I)=0.582252475061656992647322552477490510489806444115...

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) ]

x2 = Simplify[f*Sqrt[b^2 + (c + a)^2]/(c + a) ]

x3 = f*Sqrt[2]

N[x1, 100]

RealDigits[%](* (A) A195355 *)

N[x2, 100]

RealDigits[%](* (B) A195356 *)

N[x3, 100]

RealDigits[%](* (C) A195357 *)

N[(x1 + x2 + x3)/(a + b + c), 100]

RealDigits[%](* Philo(ABC, I) A195358 *)

CROSSREFS

Cf. A195284.

Sequence in context: A306068 A021949 A076788 * A021636 A011210 A245276

Adjacent sequences:  A195355 A195356 A195357 * A195359 A195360 A195361

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Sep 16 2011

EXTENSIONS

a(99) corrected by Georg Fischer, Jul 18 2021

STATUS

approved

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Last modified May 25 00:03 EDT 2022. Contains 354047 sequences. (Running on oeis4.)