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A102888 Decimal expansion of volume of the Reuleaux tetrahedron. 5
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; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

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...

MATHEMATICA

RealDigits[8 Pi/3 - 27 ArcSec[3]/4 + Sqrt[2]/4, 10, 102][[1]] (* Eric W. Weisstein, Dec 15 2017 *)

PROG

(PARI) 8/3*Pi - (27/4)*acos(1/3) + sqrt(2)/4 \\ Michel Marcus, Dec 15 2017

CROSSREFS

Sequence in context: A264752 A325527 A088570 * A071558 A179621 A282698

Adjacent sequences:  A102885 A102886 A102887 * A102889 A102890 A102891

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jan 16 2005

STATUS

approved

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Last modified October 17 16:51 EDT 2019. Contains 328120 sequences. (Running on oeis4.)