A193505 Decimal expansion of bean curve area.

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

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 A349398 A349397

Adjacent sequences: A193502 A193503 A193504 * A193506 A193507 A193508

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 29 2011

Status

approved