A084660 Decimal expansion of solution of area bisectors problem.

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

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Henry Bottomley, Area bisectors of a triangle.

Zak Seidov 3-points in 3-4-5 triangle

Formula

Equals (3*log(2) - 2)/4.

Sum_{i>0} 1/((4i-1)*4i*(4i+1)) = Sum_{i>0} 1/A069140(i). - Henry Bottomley, Jul 09 2003

Example

0.0198603854199589820629240910936324260566251...

Mathematica

Join[{0}, RealDigits[N[3/4*Log[2]-1/2, 108]][[1]]] (* Georg Fischer, Jul 15 2021 *)

Prog

(PARI) 3*log(2)/4-1/2 \\ Charles R Greathouse IV, Apr 13 2020
(Magma) SetDefaultRealField(RealField(119)); Log(8/Exp(2))/4 // G. C. Greubel, Mar 22 2023
(SageMath) numerical_approx(log(8/exp(2))/4, digits=119) # G. C. Greubel, Mar 22 2023

Crossrefs

Sequence in context: A327341 A059068 A059069 * A002391 A193626 A316600

Adjacent sequences: A084657 A084658 A084659 * A084661 A084662 A084663

Keyword

cons,easy,nonn

Author

Zak Seidov, Jun 28 2003

Extensions

a(100) corrected by Georg Fischer, Jul 15 2021

Status

approved