A093064 - OEIS

%I #12 Apr 22 2021 18:07:15

%S 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,

%T 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,

%U 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

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

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

%H Michael De Vlieger, <a href="/A093064/b093064.txt">Table of n, a(n) for n = 0..10000</a>

%H Uwe Bäsel, <a href="https://arxiv.org/abs/2101.03815">The moments of the distance between two random points in a regular polygon</a>, arXiv:2101.03815 [math.PR], 2021.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TriangleLinePicking.html">Triangle Line Picking</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%e 0.364791843...

%t RealDigits[(4 + 3 Log[3])/20, 10, 105][[1]] (* _Michael De Vlieger_, Apr 22 2021 *)

%o (PARI) (log(27)+4)/20 \\ _Charles R Greathouse IV_, May 15 2019

%Y Cf. A093063.

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Mar 16 2004