A133845 Decimal expansion of maximum possible value of A B C-8 omega^3.

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Yff Conjecture

Example

0.44005346705249230239...

Mathematica

f[a_] := a^2*(Pi - 2*a) - 8*ArcCot[2*Cot[a] - Cot[2*a]]^3; a0 = a /. FindRoot[f'[a] == 0, {a, 3/2}, WorkingPrecision -> 110]; RealDigits[f[a0], 10, 105] // First (* Jean-François Alcover, Feb 07 2013, after Eric W. Weisstein *)

Crossrefs

Cf. A133844.

Sequence in context: A200505 A285242 A143266 * A282289 A291696 A291649

Adjacent sequences: A133842 A133843 A133844 * A133846 A133847 A133848

Keyword

nonn,cons

Author

Eric W. Weisstein, Sep 26 2007

Status

approved