OFFSET
1,2
COMMENTS
See A195284 for definitions and a general discussion.
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) ]
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 16 2011
STATUS
approved