A093728 Decimal expansion of 2E(2i sqrt(2)), where E(k) is the complete elliptic integral of the 2nd kind.
6, 6, 8, 2, 4, 4, 6, 6, 1, 0, 2, 7, 7, 6, 2, 9, 1, 1, 5, 0, 6, 4, 7, 5, 1, 1, 6, 2, 5, 3, 0, 0, 9, 8, 1, 1, 9, 7, 0, 0, 4, 9, 1, 3, 3, 6, 1, 9, 4, 5, 8, 8, 5, 5, 1, 6, 4, 6, 4, 8, 0, 1, 9, 8, 2, 4, 6, 2, 9, 2, 7, 0, 9, 5, 2, 3, 2, 8, 4, 8, 0, 4, 0, 1, 2, 9, 5, 5, 3, 2, 4, 0, 5, 8, 1, 9, 9, 1, 0, 6, 4, 5
Offset: 1
Examples
6.68244661027762911506475116253009811970049133619458855164648...
Links
- G. C. Greubel, Table of n, a(n) for n = 1..10000
- Eric Weisstein's World of Mathematics, Trifolium
Crossrefs
Cf. A249491.
Programs
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Maple
Re(evalf(2*EllipticE(2*I*sqrt(2)), 120)); # Vaclav Kotesovec, Apr 22 2015
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Mathematica
RealDigits[ N[ 2*EllipticE[-8], 102]][[1]] (* Jean-François Alcover, Oct 29 2012 *)
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PARI
2*intnum(t=0,Pi/2,sqrt(1+8*sin(t)^2)) \\ Charles R Greathouse IV, Aug 15 2015
Formula
Equals 2*A249491. - Altug Alkan, Oct 02 2018
Comments