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A193505 Decimal expansion of bean curve area. 1
1, 0, 5, 8, 0, 4, 9, 6, 2, 9, 1, 3, 6, 6, 2, 7, 0, 7, 9, 5, 1, 3, 2, 1, 2, 3, 1, 6, 9, 5, 7, 9, 2, 4, 1, 7, 7, 1, 6, 5, 7, 0, 5, 3, 1, 1, 3, 8, 7, 4, 3, 2, 0, 0, 2, 4, 1, 5, 7, 6, 6, 2, 1, 2, 3, 0, 9, 7, 3, 8, 5, 2, 2, 3, 2, 3, 7, 0, 6, 4, 3, 2, 1, 4, 9, 0, 7, 2, 9, 0, 9, 7, 9, 0, 3, 6, 8, 4, 3, 1, 8, 3, 2, 7, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

area = 7*Pi/(12*sqrt(3)). - Eric W. Weisstein, Feb 05 2018

LINKS

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Bean Curve

EXAMPLE

1.058049629...

MATHEMATICA

area = Sqrt[2] NIntegrate[Sqrt[x (1 - x + Sqrt[1 + (2 - 3 x) x])], {x, 0, 1}, WorkingPrecision -> 120]; Take[RealDigits[area][[1]], 105]

RealDigits[7 Pi/(12 Sqrt[3]), 10, 105][[1]] (* Eric W. Weisstein, Feb 05 2018 *)

CROSSREFS

Cf. A193306 (arc length).

Sequence in context: A011496 A198360 A153420 * A141848 A140249 A081564

Adjacent sequences:  A193502 A193503 A193504 * A193506 A193507 A193508

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Jul 29 2011

STATUS

approved

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)