OFFSET
1,2
COMMENTS
See A195284 for definitions and a general discussion.
EXAMPLE
(B)=1.80566491858054587933117899514765276...
MATHEMATICA
a = Sqrt[7]; b = 3; c = 4;
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) A195399 *)
N[x2, 100]
RealDigits[%] (* (B) A195400 *)
N[x3, 100]
RealDigits[%] (* (C) A195401 *)
N[(x1 + x2 + x3)/(a + b + c), 100]
RealDigits[%] (* Philo(ABC, I) A195402 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 17 2011
STATUS
approved