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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
OFFSET
1,3
COMMENTS
area = 7*Pi/(12*sqrt(3)). - Eric W. Weisstein, Feb 05 2018
LINKS
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 A349398 A349397
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved