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URL: https://oeis.org/A388907

⇱ A388907 - OEIS


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A388907
Decimal expansion of ((3+sqrt(3)) * exp((-3 * Pi) / 8) * Gamma(2/3) * Gamma(3/4)) / (sqrt(2 * Pi) * Gamma(11/12)).
1
9, 1, 3, 6, 5, 2, 8, 6, 9, 5, 0, 2, 3, 9, 2, 5, 5, 7, 8, 6, 1, 7, 6, 0, 0, 4, 9, 1, 5, 3, 3, 3, 1, 3, 7, 0, 0, 5, 1, 2, 3, 0, 0, 5, 5, 4, 4, 5, 4, 6, 9, 0, 4, 5, 7, 4, 7, 5, 7, 7, 1, 1, 9, 3, 4, 3, 4, 5, 8, 1, 3, 0, 3, 7, 0, 7, 5, 9, 3, 8, 1, 7, 5, 9, 3, 0, 6
OFFSET
0,1
FORMULA
Empirical: Equals Sum_{k>=0} A260162(k) / exp(k*Pi).
Equals 2^(1/4) * 3^(3/8) * sqrt(1 + sqrt(3)) / exp(3*Pi/8). - Vaclav Kotesovec, Jan 08 2026
EXAMPLE
0.91365286950239255786176004915333137004...
MATHEMATICA
First[RealDigits[((3 + Sqrt[3])*Exp[(-3*Pi)/8]*Gamma[2/3]*Gamma[3/4])/(Sqrt[2*Pi]*Gamma[11/12]), 10, 100]]
RealDigits[2^(1/4)*3^(3/8)*Sqrt[1 + Sqrt[3]] / E^(3*Pi/8), 10, 100][[1]] (* Vaclav Kotesovec, Jan 08 2026 *)
PROG
(PARI) (1/2) * exp(-3/8 * Pi) * 3^(1/2) * gamma(2/3) * gamma(3/4) * sqrt(2) * (1+3^(1/2)) / gamma(11/12) / sqrt(Pi)
CROSSREFS
Cf. A260162.
Sequence in context: A388660 A388631 A388618 * A388681 A198819 A176520
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 21 2025
STATUS
approved