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A388882
Decimal expansion of (1/8) * exp(11*Pi/24) * sqrt(Pi) * 2^(3/8) * Gamma(11/12)^3 * Gamma(7/12)^3 / Gamma(3/4)^8.
1
1, 0, 0, 1, 9, 5, 1, 7, 8, 0, 5, 7, 5, 3, 3, 8, 1, 3, 1, 8, 6, 8, 9, 6, 3, 7, 4, 0, 1, 7, 4, 9, 8, 9, 0, 7, 1, 9, 0, 5, 4, 4, 6, 9, 0, 7, 1, 6, 6, 3, 5, 2, 8, 5, 6, 5, 7, 3, 5, 2, 8, 4, 9, 5, 3, 5, 2, 5, 0, 1, 6, 0, 4, 3, 4, 5, 3, 5, 6, 9, 0, 0, 2, 3, 3, 6, 4
OFFSET
1,5
FORMULA
Empirical: Equals Sum_{k>=0} A255318(k) / exp(k*Pi).
Equals exp(11*Pi/24) * Gamma(1/4)^2 / (2^(17/8) * 3^(3/4) * Pi^(3/2)). - Vaclav Kotesovec, Jan 08 2026
EXAMPLE
1.0019517805753381318689637401749890719...
MATHEMATICA
First[RealDigits[(Sqrt[Pi]*Exp[(11*Pi)/24]*Gamma[7/12]^3*Gamma[11/12]^3)/(4*2^(5/8)*Gamma[3/4]^8), 10, 100]]
RealDigits[E^(11*Pi/24) * Gamma[1/4]^2 / (2^(17/8)*3^(3/4)*Pi^(3/2)), 10, 100][[1]] (* Vaclav Kotesovec, Jan 08 2026 *)
PROG
(PARI) (1/8) * exp(11/24 * Pi) * sqrt(Pi) * 2^(3/8) * gamma(11/12)^3 * gamma(7/12)^3 / gamma(3/4)^8
CROSSREFS
Cf. A255318.
Sequence in context: A198421 A262178 A388767 * A388488 A154483 A198560
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 21 2025
STATUS
approved