A245700 Decimal expansion of the expected distance from a randomly selected point in an equilateral triangle of side length 1 to a corner: (4+log(27))/12.

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

Offset

0,1

Links

Table of n, a(n) for n=0..118.

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

Index entries for transcendental numbers

Formula

Equals Sum_{k>=1} k/((2*k-1)*2^(2*k-1)). - Amiram Eldar, May 27 2021

Example

0.607986405500360756182144642563964759495205972789020696267006916742706906637985...

Mathematica

RealDigits[(4 + Log[27])/12, 10, 100][[1]] (* Amiram Eldar, May 27 2021 *)

Prog

(PARI) (4+log(27))/12 \\ Charles R Greathouse IV, Apr 20 2016

Crossrefs

Cf. A245698.

Sequence in context: A021626 A320376 A059956 * A201521 A011393 A066362

Adjacent sequences: A245697 A245698 A245699 * A245701 A245702 A245703

Keyword

nonn,cons

Author

Derek Orr, Jul 29 2014

Status

approved