VOOZH about

URL: https://oeis.org/A388903

⇱ A388903 - OEIS

login
A388903
Decimal expansion of (64 * (140+99 * sqrt(2))^(1/4) * exp((5 * Pi) / 8) * Gamma(5/4)^4 * sin(Pi / 8)^4) / Pi^3.
1
8, 7, 0, 7, 6, 4, 7, 3, 3, 8, 5, 4, 0, 0, 3, 1, 0, 1, 4, 5, 9, 3, 7, 0, 1, 5, 2, 4, 7, 2, 6, 8, 5, 0, 3, 2, 0, 0, 9, 8, 2, 0, 7, 9, 8, 9, 3, 5, 9, 0, 9, 8, 6, 5, 7, 3, 8, 8, 8, 1, 9, 2, 6, 4, 4, 3, 1, 4, 5, 3, 6, 0, 7, 6, 5, 7, 9, 3, 8, 9, 4, 8, 1, 2, 5, 7, 9
OFFSET
0,1
FORMULA
Empirical: Equals Sum_{k>=0} A259743(k) / exp(k*Pi).
Equals exp(5*Pi/8) * Gamma(1/4)^4 / (2^(39/8) * sqrt(1 + sqrt(2)) * Pi^3). - Vaclav Kotesovec, Jan 08 2026
EXAMPLE
0.87076473385400310145937015247268503200...
MATHEMATICA
First[RealDigits[(64*(140 + 99*Sqrt[2])^(1/4)*Exp[(5*Pi)/8]*Gamma[5/4]^4*Sin[Pi/8]^4)/Pi^3, 10, 100]]
RealDigits[E^(5*Pi/8)*Gamma[1/4]^4 / (2^(39/8)*Sqrt[1 + Sqrt[2]]*Pi^3), 10, 100][[1]] (* Vaclav Kotesovec, Jan 08 2026 *)
PROG
(PARI) (1/64) * exp(5/8 * Pi) * 2^(7/8) * gamma(5/8)^4 * (3+2 * sqrt(2)) * (2-2^(1/2))^(1/2) / gamma(7/8)^4 / Pi
CROSSREFS
Cf. A259743.
Sequence in context: A155094 A369633 A388211 * A294969 A292821 A394349
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 21 2025
STATUS
approved