A357319 Decimal expansion of 6*Pi*Gamma(2/3)^2/(sqrt(3)*Gamma(1/3)^4).

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

Offset

0,1

Links

Table of n, a(n) for n=0..89.

Markus Faulhuber, Anupam Gumber, and Irina Shafkulovska, The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators, arXiv:2209.04202 [math.CA], 2022, p. 21.

Formula

Equals 6*A000796*A073006^2/(A002194*A073005^4).

Equals (8*Pi^3)/(sqrt(3)*Gamma(1/3)^6) = A212003/(A002194*A073005^6). - Peter Luschny, Sep 24 2022

Example

0.3874382387848854205695648847540189480496...

Maple

(8*Pi^3)/(sqrt(3)*GAMMA(1/3)^6): evalf(%, 92); # Peter Luschny, Sep 24 2022

Mathematica

First[RealDigits[N[6*Pi*Gamma[2/3]^2/(Sqrt[3]*Gamma[1/3]^4), 90]]]

Prog

(PARI) 6*Pi*gamma(2/3)^2/(sqrt(3)*gamma(1/3)^4) \\ Michel Marcus, Sep 24 2022

Crossrefs

Cf. A000796, A002194, A073005, A073006, A212003.

Sequence in context: A134903 A371527 A177346 * A257822 A201293 A335810

Adjacent sequences: A357316 A357317 A357318 * A357320 A357321 A357322

Keyword

nonn,cons

Author

Stefano Spezia, Sep 23 2022

Status

approved