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A196654 Decimal expansion of mean square width of the regular tetrahedron. 0
8, 3, 5, 4, 1, 9, 5, 1, 7, 9, 9, 1, 0, 5, 4, 6, 8, 8, 0, 4, 1, 5, 4, 3, 0, 2, 6, 1, 8, 2, 6, 8, 5, 2, 0, 4, 5, 3, 4, 7, 1, 4, 7, 8, 4, 9, 3, 6, 4, 5, 9, 7, 8, 1, 7, 6, 1, 7, 9, 0, 0, 2, 8, 2, 1, 4, 8, 0, 3, 6, 9, 6, 4, 2, 4, 8, 7, 6, 3, 3, 5, 1, 2, 7, 0, 2, 0, 9, 4, 8, 4, 7, 3, 5, 6, 3, 1, 3, 4, 9, 8, 1, 3, 7, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Continued fraction expansion begins 0,1,5,13,6,1,2,1,3,1,10,20,1,2.

LINKS

Table of n, a(n) for n=0..104.

Steven R. Finch, Width Distributions for Convex Regular Polyhedra (arXiv:1110.0671v1 [math.MG]), Oct 04 2011.

S. R. Finch, Mean width of a regular simplex, arxiv:1111.4976 (2016), E(w_3^2).

FORMULA

1/3+(3+sqrt(3))/(3*Pi).

EXAMPLE

0.83541951799105468804154302618268520453471478493645978176...

PROG

(PARI) 1/3+(3+sqrt(3))/(3*Pi) \\ Charles R Greathouse IV, Oct 04 2012

CROSSREFS

Sequence in context: A199440 A199293 A110234 * A019728 A265183 A113476

Adjacent sequences:  A196651 A196652 A196653 * A196655 A196656 A196657

KEYWORD

nonn,easy,cons

AUTHOR

Jonathan Vos Post, Oct 04 2011

STATUS

approved

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Last modified November 21 11:35 EST 2019. Contains 329370 sequences. (Running on oeis4.)