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URL: https://oeis.org/A388565

⇱ A388565 - OEIS


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A388565
Decimal expansion of (1/16) * 2^(5/8) * Gamma(5/8)^3 * (2+sqrt(2))^2 / Pi^(3/4) / Gamma(7/8)^3.
1
1, 0, 8, 6, 4, 1, 9, 6, 5, 6, 1, 8, 5, 6, 2, 1, 3, 5, 2, 4, 7, 5, 4, 7, 6, 0, 1, 6, 2, 9, 3, 0, 3, 3, 3, 5, 7, 9, 8, 7, 5, 2, 4, 7, 5, 0, 0, 4, 2, 2, 2, 3, 1, 0, 9, 7, 8, 1, 6, 5, 2, 9, 2, 8, 3, 1, 5, 4, 9, 4, 6, 9, 5, 3, 1, 8, 6, 6, 9, 6, 9, 3, 0, 1, 1, 1, 0
OFFSET
1,3
FORMULA
Empirical: Equals Sum_{k>=0} A116597(k) / exp(k*Pi).
EXAMPLE
1.0864196561856213524754760162930333580...
MATHEMATICA
First[RealDigits[((3 + 2*Sqrt[2])*Gamma[1/4]^3*Sin[Pi/8]^3)/(2^(1/8)*Pi^(9/4)), 10, 100]]
PROG
(PARI) (1/16) * 2^(5/8) * gamma(5/8)^3 * (2+2^(1/2))^2 / Pi^(3/4) / gamma(7/8)^3
CROSSREFS
Cf. A116597.
Sequence in context: A199151 A388586 A380373 * A343275 A177154 A059631
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 18 2025
STATUS
approved