cp's OEIS Frontend

A195396 Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(sqrt(3),sqrt(5),sqrt(8)).

%I A195396 #6 Mar 30 2012 18:57:45
%S A195396 1,2,6,9,3,1,5,7,9,8,8,6,2,5,6,0,6,6,9,2,8,7,2,7,6,7,3,2,7,3,8,9,4,5,
%T A195396 3,9,8,4,5,1,4,1,2,8,2,1,3,5,8,1,0,2,7,4,6,3,2,9,7,6,8,8,0,1,3,5,3,3,
%U A195396 3,4,3,2,3,8,8,1,6,1,5,3,8,4,7,1,0,3,8,3,9,2,5,9,5,2,6,3,5,2,0,7
%N A195396 Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(sqrt(3),sqrt(5),sqrt(8)).
%C A195396 See A195284 for definitions and a general discussion.
%e A195396 (B)=1.2693157988625606692872767327389453984514...
%t A195396 a = Sqrt[3]; b = Sqrt[5]; c = Sqrt[8];
%t A195396 f = 2 a*b/(a + b + c);
%t A195396 x1 = Simplify[f*Sqrt[a^2 + (b + c)^2]/(b + c) ]
%t A195396 x2 = Simplify[f*Sqrt[b^2 + (c + a)^2]/(c + a) ]
%t A195396 x3 = f*Sqrt[2]
%t A195396 N[x1, 100]
%t A195396 RealDigits[%]    (* (A) A195395 *)
%t A195396 N[x2, 100]
%t A195396 RealDigits[%]    (* (B) A195396 *)
%t A195396 N[x3, 100]
%t A195396 RealDigits[%]    (* (C) A195397 *)
%t A195396 N[(x1 + x2 + x3)/(a + b + c), 100]
%t A195396 RealDigits[%]    (*  Philo(ABC,I) A195398 *)
%Y A195396 Cf. A195284.
%K A195396 nonn,cons
%O A195396 1,2
%A A195396 _Clark Kimberling_, Sep 17 2011