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A243311
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Decimal expansion of the volume of a regular ideal hyperbolic 4-simplex.
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0
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2, 6, 8, 8, 9, 5, 6, 6, 0, 1, 6, 9, 3, 1, 1, 2, 2, 5, 4, 6, 9, 2, 9, 4, 8, 6, 7, 2, 2, 7, 2, 4, 5, 6, 6, 4, 5, 2, 4, 9, 9, 4, 4, 3, 7, 1, 9, 3, 0, 3, 1, 3, 7, 2, 9, 2, 1, 0, 7, 6, 4, 8, 0, 2, 5, 7, 6, 3, 9, 2, 6, 0, 9, 0, 0, 9, 9, 2, 6, 4, 7, 2, 9, 4, 4, 3, 7, 4, 8, 1, 3, 4, 8, 4, 3, 1, 8, 1, 9, 7, 5, 3
(list;
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graph;
refs;
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history;
text;
internal format)
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OFFSET
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0,1
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.9 Hyperbolic volume constants, p. 512.
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LINKS
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FORMULA
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10*Pi/3*arcsin(1/3) - Pi^2/3.
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EXAMPLE
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0.268895660169311225469294867227245664524994437...
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MATHEMATICA
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RealDigits[10*Pi/3*ArcSin[1/3] - Pi^2/3, 10, 102] // First
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CROSSREFS
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Cf. A019503, A143298 (Gieseking's constant is also the volume of a regular ideal hyperbolic 3-simplex).
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KEYWORD
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AUTHOR
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STATUS
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approved
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