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A102888 Decimal expansion of volume of the Reuleaux tetrahedron. 4
4, 2, 2, 1, 5, 7, 7, 3, 3, 1, 1, 5, 8, 2, 6, 6, 2, 7, 0, 2, 3, 3, 6, 5, 9, 1, 6, 6, 2, 3, 8, 5, 0, 7, 5, 8, 1, 2, 3, 4, 0, 7, 9, 7, 0, 6, 9, 7, 6, 2, 9, 0, 4, 3, 9, 3, 5, 7, 3, 7, 5, 9, 5, 0, 8, 6, 5, 7, 8, 7, 4, 6, 9, 8, 3, 8, 5, 5, 4, 9, 6, 3, 7, 7, 9, 0, 7, 9, 8, 1, 6, 7, 4, 2, 4, 4, 6, 9, 0, 1, 1, 4 (list; constant; graph; refs; listen; history; internal format)
OFFSET

0,1

LINKS

Eric Weisstein's World of Mathematics, Definite Integral

Eric Weisstein's World of Mathematics, Reuleaux Tetrahedron

FORMULA

8/3*Pi - (27/4)*ArcCos[1/3] + Sqrt[2]/4

= (3*Sqrt[2] - 49*Pi + 162*ArcTan[Sqrt[2]])/12

= 1/24*(6*Sqrt[2] + 16*Pi + 57*ArcCos[17/81] - 132 ArcTan[Sqrt[2]])

EXAMPLE

0.422157733...

CROSSREFS

Sequence in context: A123402 A205032 A088570 * A071558 A179621 A136709

Adjacent sequences:  A102885 A102886 A102887 * A102889 A102890 A102891

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jan 16, 2005

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Last modified February 17 11:46 EST 2012. Contains 206011 sequences.