The On-Line Encyclopedia of Integer Sequences (OEIS)

A195399 revision #2

A195399

Decimal expansion of shortest length, (A), of segment from side AB through incenter to side AC in right triangle ABC with sidelengths (a,b,c)=(2,sqrt(5),3).

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

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OFFSET

1,2

COMMENTS

See A195284 for definitions and a general discussion.

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

(A)=1.32316907649921499540307362473521748999...

MATHEMATICA

a = 2; b = Sqrt[5]; c = 3;

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) A1953401 *)

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

RealDigits[%] (* Philo(ABC, I) A195402 *)

CROSSREFS

Cf. A195284, A195400, A195401, A195402.

Sequence in context: A289773 A197475 A195381 * A144558 A307551 A220344

Adjacent sequences: A195396 A195397 A195398 * A195400 A195401 A195402

KEYWORD

nonn,cons,changed

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Sep 17 2011

STATUS

editing