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A366019
Decimal expansion of the average distance between two points in a regular tetrahedron of unit volume.
0
7, 2, 9, 4, 6, 2, 4, 2, 4, 4, 8, 4, 3, 1, 8, 6, 5, 8, 0, 7, 0, 2, 3, 9, 0, 9, 1, 2, 2, 2, 0, 3, 0, 6, 2, 8, 7, 2, 9, 1, 7, 6, 1, 3, 5, 6, 8, 6, 2, 7, 1, 0, 5, 6, 6, 9, 5, 2, 1, 7, 3, 0, 9, 5, 2, 8, 7, 8, 1, 7, 6, 1, 6, 1, 5, 1, 0, 6, 7, 9, 1, 9, 2, 2, 1
OFFSET
1,1
LINKS
Dominik Beck, Mean distance in polyhedra, arXiv:2309.13177 [math.PR], 22 Sep 2023.
Eric Weisstein's World of Mathematics, Tetrahedron Line Picking
EXAMPLE
0.729462424484318...
MATHEMATICA
RealDigits[3^(1/3) (Sqrt[2]/7 - 37 Pi/315 + 4/15 ArcTan[Sqrt[2]] + 113 Log[3]/(210 Sqrt[2])), 10, 85][[1]]
CROSSREFS
Cf. A073012.
Sequence in context: A092036 A021987 A031026 * A216186 A333360 A021936
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Sep 26 2023
STATUS
approved