A094962 Decimal expansion of A064582*sqrt(3)/2, i.e., imaginary part of omega_1 in the equianharmonic case.

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Eric Weisstein's World of Mathematics, Omega-2 Constant

Eric Weisstein's World of Mathematics, Equianharmonic Case

Formula

Equals (sqrt(3)*gamma(1/3)^3)/(8*Pi).

Example

1.32497906...

Mathematica

RealDigits[Sqrt[3]*Gamma[1/3]^3/(8*Pi), 10, 50][[1]] (* G. C. Greubel, Nov 05 2017 *)

Prog

(PARI) default(realprecision, 1000); (sqrt(3)*gamma(1/3)^3)/(8*Pi) \\ Anders Hellström, Aug 15 2015
(Magma) C<i> := ComplexField(); [Sqrt(3)*Gamma(1/3)^3/(8*Pi(C))]; // G. C. Greubel, Nov 05 2017

Crossrefs

Cf. A064582, A094961.

Sequence in context: A265354 A265356 A083164 * A338243 A338246 A368225

Adjacent sequences: A094959 A094960 A094961 * A094963 A094964 A094965

Keyword

nonn,cons

Author

Eric W. Weisstein, May 26 2004

Status

approved