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

Author

Jean-François Alcover, Jul 29 2011

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			1.058049629...
		

Links

• Eric Weisstein's World of Mathematics, Bean Curve

Crossrefs

Cf. A193306 (arc length).

Programs

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 *)