A141108 Decimal expansion of arc length of the cornoid curve.

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

Offset

2,3

Links

Table of n, a(n) for n=2..106.

Eric Weisstein's World of Mathematics, Cornoid

Formula

4*(EllipticE[ -2] - 3*EllipticK[ -2] + 3*EllipticPi[1/4, -2])

Example

10.601702953742360510...

Maple

Re(evalf(4*(EllipticE(I*sqrt(2)) - 3*EllipticK(I*sqrt(2)) + 3*EllipticPi(1/4, I*sqrt(2))), 120)); # Vaclav Kotesovec, Apr 22 2015

Mathematica

RealDigits[N[4*(EllipticE[-2]-3*EllipticK[-2]+3*EllipticPi[1/4, -2]), 105]][[1]] (* Vaclav Kotesovec, Apr 22 2015 *)
RealDigits[N[(4 (9 EllipticE[2/3] - EllipticK[2/3] + EllipticPi[3/4, 2/3]))/(3 Sqrt[3]), 105]][[1]] (* Jan Mangaldan, Nov 22 2020 *)

Crossrefs

Sequence in context: A094691 A095715 A321215 * A019846 A364898 A320906

Adjacent sequences: A141105 A141106 A141107 * A141109 A141110 A141111

Keyword

nonn,cons

Author

Eric W. Weisstein, Jun 02 2008

Status

approved