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URL: https://oeis.org/A388891

⇱ A388891 - OEIS

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A388891
Decimal expansion of (1/6) * exp(Pi / 3) * sqrt(Pi) * 2^(7/8) / Gamma(11/12) / Gamma(7/12).
1
9, 5, 6, 7, 8, 5, 9, 1, 8, 5, 8, 4, 6, 9, 3, 1, 4, 9, 9, 7, 1, 1, 0, 4, 0, 5, 5, 0, 9, 3, 8, 8, 2, 4, 1, 0, 0, 3, 4, 3, 2, 4, 4, 2, 4, 1, 2, 2, 0, 8, 7, 9, 9, 0, 2, 9, 4, 5, 0, 8, 1, 8, 5, 6, 2, 6, 8, 8, 8, 7, 7, 3, 5, 3, 9, 9, 3, 5, 0, 2, 1, 1, 3, 0, 6, 2, 1
OFFSET
0,1
FORMULA
Empirical: Equals Sum_{k>=0} A258747(k) / exp(k*Pi).
Equals exp(Pi/3) * Gamma(1/4)^2 / (2^(13/8) * 3^(3/4) * Pi^(3/2)). - Vaclav Kotesovec, Jan 08 2026
EXAMPLE
0.95678591858469314997110405509388241003...
MATHEMATICA
First[RealDigits[(-2*2^(7/8)*Sqrt[Pi]*Exp[Pi/3])/(Gamma[-1/12]*Gamma[7/12]), 10, 100]]
RealDigits[E^(Pi/3) * Gamma[1/4]^2 / (2^(13/8)*3^(3/4)*Pi^(3/2)), 10, 100][[1]] (* Vaclav Kotesovec, Jan 08 2026 *)
PROG
(PARI) (1/6) * exp(Pi / 3) * sqrt(Pi) * 2^(7/8) / gamma(11/12) / gamma(7/12)
CROSSREFS
Cf. A258747.
Sequence in context: A388671 A388477 A388624 * A388682 A388610 A334826
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 21 2025
STATUS
approved