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A388930
Decimal expansion of (1/18) * exp(2*Pi/3) * 3^(1/2) * Pi^(3/4) / Gamma(3/4)^3.
1
1, 0, 0, 2, 0, 3, 6, 1, 1, 9, 0, 0, 5, 0, 7, 3, 4, 0, 0, 6, 5, 1, 9, 8, 9, 8, 0, 4, 2, 0, 3, 9, 2, 2, 2, 0, 1, 0, 1, 4, 5, 3, 2, 0, 9, 0, 7, 3, 2, 0, 9, 7, 4, 2, 3, 1, 8, 5, 9, 9, 9, 1, 0, 3, 4, 3, 7, 7, 2, 7, 3, 4, 7, 7, 5, 4, 6, 3, 0, 5, 3, 9, 8, 5, 3, 1, 9
OFFSET
1,4
FORMULA
Empirical: Equals Sum_{k>=0} A261444(k) / exp(k*Pi).
EXAMPLE
1.0020361190050734006519898042039222010...
MATHEMATICA
First[RealDigits[(Pi^(3/4)*Exp[(2*Pi)/3])/(6*Sqrt[3]*Gamma[3/4]^3), 10, 100]]
PROG
(PARI) (1/18) * exp(2/3 * Pi) * 3^(1/2) * Pi^(3/4) / gamma(3/4)^3
CROSSREFS
Cf. A261444.
Sequence in context: A386789 A216255 A362788 * A262256 A388889 A011120
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 21 2025
STATUS
approved