A093064 - OEIS

A093064

Decimal expansion of (4 + 3*log(3))/20.

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

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OFFSET

0,1

COMMENTS

Average length of a line picked at random inside an equilateral triangle with unit side lengths.

This average was apparently first calculated by the Austrian mathematician Emanuel Czuber (1851-1925) in 1884. - Amiram Eldar, Mar 26 2026

LINKS

Michael De Vlieger, Table of n, a(n) for n = 0..10000

Uwe Bäsel, The moments of the distance between two random points in a regular polygon, arXiv:2101.03815 [math.PR], 2021.

Emanuel Czuber, Geometrische Wahrscheinlichkeiten und Mittelwerte, Leipzig, B. G. Teubner, 1884, p. 206.

Eric Weisstein's World of Mathematics, Triangle Line Picking.

Index entries for transcendental numbers.

EXAMPLE

0.36479184330021645370928678553837885569712358367341...

MATHEMATICA

RealDigits[(4 + 3 Log[3])/20, 10, 105][[1]] (* Michael De Vlieger, Apr 22 2021 *)

PROG

(PARI) (log(27)+4)/20 \\ Charles R Greathouse IV, May 15 2019

CROSSREFS

Cf. A091505 (square), A093063, this constant (triangle), A093070 (disk), A394596 (pentagon), A394597 (hexagon), A394598 (octagon), A394599 (10-gon), A394600 (12-gon), A394601 (rhombus), A394602 (rectangle).

Sequence in context: A112374 A338014 A222409 * A197568 A136612 A004546

Adjacent sequences: A093061 A093062 A093063 * A093065 A093066 A093067

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Mar 16 2004

STATUS

approved