A138497 Decimal expansion of arc length of the cycloid of Ceva.

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

Offset

2,1

Links

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

Eric Weisstein's World of Mathematics, Cycloid of Ceva

Example

20.015780680430397791...

Maple

evalf(16*EllipticE(sqrt(13)/4) - 3*EllipticK(sqrt(13)/4) + 3*EllipticPi(1/4, sqrt(13)/4), 120); # Vaclav Kotesovec, Apr 22 2015

Mathematica

16*EllipticE[13/16] - 3*EllipticK[13/16] + 3*EllipticPi[1/4, 13/16]

Crossrefs

Sequence in context: A309524 A331106 A318373 * A295858 A113129 A127826

Adjacent sequences: A138494 A138495 A138496 * A138498 A138499 A138500

Keyword

nonn,cons

Author

Eric W. Weisstein, Mar 20 2008

Status

approved