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A138498
Decimal expansion of arc length of Freeth's nephroid.
0
2, 1, 2, 0, 3, 4, 0, 5, 9, 0, 7, 4, 8, 4, 7, 2, 1, 0, 2, 0, 6, 6, 0, 9, 5, 8, 3, 7, 4, 4, 3, 0, 8, 2, 7, 1, 8, 8, 2, 2, 5, 5, 2, 2, 0, 1, 5, 5, 9, 5, 3, 9, 5, 9, 6, 3, 2, 5, 9, 2, 1, 8, 3, 0, 2, 7, 2, 4, 1, 9, 5, 2, 7, 8, 5, 0, 9, 2, 6, 8, 9, 7, 4, 7, 5, 4, 4, 5, 8, 1, 1, 6, 4, 7, 4, 1, 1, 9, 8, 3, 9, 5, 8, 6, 5
OFFSET
2,1
LINKS
Eric Weisstein's World of Mathematics, Freeth's Nephroid
EXAMPLE
21.203405907484721020...
MAPLE
evalf((8*(3*EllipticE(sqrt(2/3)) - 3*EllipticK(sqrt(2/3)) + 4*EllipticPi(-1/3, sqrt(2/3))))/sqrt(3), 120); # Vaclav Kotesovec, Apr 22 2015
MATHEMATICA
(8*(3*EllipticE[2/3] - 3*EllipticK[2/3] + 4*EllipticPi[ -1/3, 2/3]))/Sqrt[3]
CROSSREFS
Sequence in context: A344788 A372687 A068076 * A276669 A307596 A374354
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Mar 20 2008
STATUS
approved