A138497 - OEIS

%I #6 Aug 15 2015 10:17:24

%S 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,

%T 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,

%U 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

%N Decimal expansion of arc length of the cycloid of Ceva.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CycloidofCeva.html">Cycloid of Ceva</a>

%e 20.015780680430397791...

%p evalf(16*EllipticE(sqrt(13)/4) - 3*EllipticK(sqrt(13)/4) + 3*EllipticPi(1/4, sqrt(13)/4), 120); # _Vaclav Kotesovec_, Apr 22 2015

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

%K nonn,cons

%O 2,1

%A _Eric W. Weisstein_, Mar 20 2008