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A249523 Decimal expansion of rho(a,b), the cross-correlation coefficient of two sides of a random Gaussian triangle in three dimensions. 0
2, 3, 7, 0, 5, 1, 0, 2, 5, 2, 0, 9, 6, 0, 0, 2, 8, 6, 5, 8, 5, 5, 6, 9, 5, 0, 4, 6, 7, 6, 4, 0, 8, 5, 7, 1, 9, 4, 0, 1, 7, 6, 9, 1, 6, 2, 3, 6, 9, 7, 8, 1, 3, 1, 8, 6, 3, 2, 3, 8, 2, 6, 4, 5, 8, 9, 6, 8, 3, 1, 0, 6, 2, 3, 1, 4, 3, 1, 6, 5, 3, 1, 1, 8, 4, 1, 4, 5, 3, 3, 9, 9, 3, 8, 5, 7, 3, 3, 6, 9, 4, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Coordinates are independent normally distributed random variables with mean 0 and variance 1.

LINKS

Table of n, a(n) for n=0..102.

Steven R. Finch, Random Triangles, January 21, 2010. [Cached copy, with permission of the author]

Eric Weisstein's MathWorld, Gaussian Triangle Picking

FORMULA

rho = (-8 + 3*sqrt(3) + Pi)/(-8 + 3*Pi).

EXAMPLE

0.237051025209600286585569504676408571940176916236978...

MATHEMATICA

rho = (-8 + 3*Sqrt[3] + Pi)/(-8 + 3*Pi); RealDigits[rho, 10, 103] // First

PROG

(PARI) (sqrt(27)+Pi-8)/(3*Pi-8) \\ Charles R Greathouse IV, Apr 20 2016

CROSSREFS

Cf. A102519, A102520, A102556, A102557, A102558, A102559, A249491, A249492.

Sequence in context: A117024 A263501 A203143 * A301316 A023048 A083521

Adjacent sequences:  A249520 A249521 A249522 * A249524 A249525 A249526

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Oct 31 2014

STATUS

approved

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Last modified October 17 17:21 EDT 2021. Contains 348065 sequences. (Running on oeis4.)