A245698 Decimal expansion of the expected distance from a randomly selected point in an equilateral triangle of side length 1 to its center: (2*sqrt(3) + log(2+sqrt(3)))/18.

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

Offset

1,1

Links

Table of n, a(n) for n=1..120.

Eric Weisstein's World of Mathematics, Triangle Point Picking

Index entries for transcendental numbers

Formula

Also equal to (8*sqrt(3)+3*arcsinh(sqrt(3))+log(2+sqrt(3)))/72.

Example

0.265614417336809516426663279462206287661810693282682096437...

Mathematica

RealDigits[(2Sqrt[3]+Log[2+Sqrt[3]])/18, 10, 120][[1]] (* Harvey P. Dale, Aug 09 2014 *)

Prog

(PARI) sqrt(3)/9 + log(sqrt(3)+2)/18 \\ Charles R Greathouse IV, May 15 2019

Crossrefs

Cf. A103712.

Sequence in context: A190124 A067548 A354509 * A053793 A390426 A371324

Adjacent sequences: A245695 A245696 A245697 * A245699 A245700 A245701

Keyword

nonn,cons

Author

Derek Orr, Jul 29 2014

Status

approved