A232715 Decimal expansion of the ratio of the area of a parbelos to the area of its associated arbelos: 4/(3*Pi).

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

Offset

0,1

Comments

Also distance from the diameter of unit semicircle to its centroid. - Franck Maminirina Ramaharo, Oct 22 2018

Links

Table of n, a(n) for n=0..84.

J. Sondow, The parbelos, a parabolic analog of the arbelos, arXiv 2012, Amer. Math. Monthly 120 (2013) 929-935.

E. Tsukerman, Solution of Sondow's problem: a synthetic proof of the tangency property of the parbelos, arXiv 2012.

Index entries for transcendental numbers

Example

0.424413181578387562050356702326704965425225721974550529993779...

Mathematica

RealDigits[4/(3 Pi), 10, 100]

Prog

(PARI) 4/Pi/3 \\ Charles R Greathouse IV, Oct 01 2022

Crossrefs

Reciprocal of A177870. Ratio of lengths of boundaries is A232716.

Sequence in context: A085062 A053051 A075234 * A317951 A095382 A135282

Adjacent sequences: A232712 A232713 A232714 * A232716 A232717 A232718

Keyword

nonn,cons,easy

Author

Jonathan Sondow, Nov 28 2013

Status

approved