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A389052
Decimal expansion of (8 * sqrt(20+14 * sqrt(2)) * Gamma(5/4)^4) / Pi^3.
1
1, 0, 9, 8, 6, 5, 3, 4, 6, 1, 8, 8, 7, 3, 2, 9, 5, 7, 2, 7, 9, 4, 2, 3, 5, 1, 7, 5, 2, 3, 5, 4, 7, 9, 2, 5, 8, 3, 5, 5, 2, 4, 1, 0, 2, 2, 5, 8, 0, 5, 2, 3, 2, 2, 6, 2, 5, 1, 5, 6, 8, 0, 1, 7, 8, 7, 4, 3, 4, 4, 9, 9, 0, 6, 3, 1, 4, 8, 8, 8, 8, 2, 6, 5, 1, 2, 5
OFFSET
1,3
FORMULA
Empirical: Equals Sum_{k>=0} A320149(k) / exp(k*Pi).
EXAMPLE
1.0986534618873295727942351752354792584...
MATHEMATICA
First[RealDigits[(8*Sqrt[20 + 14*Sqrt[2]]*Gamma[5/4]^4)/Pi^3, 10, 100]]
PROG
(PARI) -(1/16) * gamma(5/8)^4 * (3+2 * sqrt(2)) * (2+2^(1/2))^(1/2) / Pi / gamma(7/8)^4 / (2^(1/2)-2)
CROSSREFS
Cf. A320149.
Sequence in context: A248585 A387442 A105415 * A346728 A197015 A239387
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 22 2025
STATUS
approved