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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. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A273621 A190124 A067548 * A053793 A076187 A019655

Adjacent sequences:  A245695 A245696 A245697 * A245699 A245700 A245701

KEYWORD

nonn,cons

AUTHOR

Derek Orr, Jul 29 2014

STATUS

approved

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Last modified November 17 23:26 EST 2019. Contains 329242 sequences. (Running on oeis4.)