A133844 Decimal expansion of vertex angle A at which A B C-8 omega^3 is a maximum.

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Yff Conjecture

Example

1.4093562703546197036...

Mathematica

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

Crossrefs

Cf. A133845.

Sequence in context: A199000 A339530 A200591 * A198238 A344716 A187377

Adjacent sequences: A133841 A133842 A133843 * A133845 A133846 A133847

Keyword

nonn,cons

Author

Eric W. Weisstein, Sep 26 2007

Status

approved