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A388375
Decimal expansion of (-32 * sqrt(2+2 / sqrt(5)) * Pi^(3/4)) / Gamma(-1/4)^3.
1
1, 0, 9, 0, 8, 4, 3, 2, 2, 1, 1, 0, 6, 6, 8, 6, 3, 7, 3, 9, 3, 8, 7, 0, 5, 5, 1, 8, 2, 5, 9, 2, 8, 3, 7, 6, 7, 2, 6, 4, 8, 1, 1, 4, 0, 5, 8, 2, 9, 6, 3, 2, 2, 3, 7, 2, 9, 8, 3, 5, 6, 1, 1, 8, 3, 4, 3, 0, 2, 0, 8, 4, 9, 4, 1, 3, 2, 7, 6, 3, 5, 8, 5, 2, 0, 1, 7
OFFSET
1,3
FORMULA
Empirical: Equals Sum_{k>=0} A029595(k) / exp(k*Pi).
EXAMPLE
1.0908432211066863739387055182592837673...
MATHEMATICA
First[RealDigits[(-32*Sqrt[2 + 2/Sqrt[5]]*Pi^(3/4))/Gamma[-1/4]^3, 10, 100]]
PROG
(PARI) Pi^(3/4) * 2^(1/5) * gamma(9/10) * gamma(7/10) * (2+2/5*5^(1/2)) * (1/4*5^(1/2)-1/4) * (1/4*5^(1/2)+1/4) / gamma(3/4)^3 / gamma(4/5)^2
CROSSREFS
Cf. A029595.
Sequence in context: A021995 A013677 A021528 * A389049 A388102 A388169
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 15 2025
STATUS
approved