A295709 Decimal expansion of the arc length of the loop of the Folium of Descartes, a curve given by x^3 + y^3 = 3axy, with a = 1.

4, 9, 1, 7, 4, 8, 8, 7, 2, 1, 6, 8, 1, 5, 3, 3, 5, 0, 9, 9, 3, 7, 8, 7, 7, 2, 3, 7, 3, 4, 8, 7, 1, 8, 7, 0, 9, 0, 1, 3, 8, 0, 3, 7, 8, 8, 4, 3, 3, 0, 5, 5, 3, 0, 9, 4, 6, 1, 0, 2, 8, 1, 5, 4, 5, 1, 5, 1, 2, 9, 3, 0, 1, 3, 3, 4, 9, 2, 1, 0, 8, 6, 7, 7, 9, 3, 5

Offset

1,1

Comments

The arc length for general value of "a" is 4.917...*a.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Folium of Descartes.

Wikipedia, Folium of Descartes.

Example

4.91748872168153350993...

Mathematica

RealDigits[3*N[Integrate[Sqrt[1+x^2(4-4x-4x^3+4x^4+x^6)]/(1+x^3)^2, {x, 0, Infinity}], 100], 10][[1]]

Crossrefs

Cf. A096877, A118289, A138500, A143150, A143180.

Sequence in context: A219031 A243452 A133868 * A316295 A199788 A197266

Adjacent sequences: A295706 A295707 A295708 * A295710 A295711 A295712

Keyword

nonn,cons

Author

Amiram Eldar, Nov 26 2017

Status

approved