login
A388796
Decimal expansion of (1/128) * exp(11*Pi/8) * Pi^(11/4) * 2^(1/8) / Gamma(3/4)^11.
2
1, 5, 9, 3, 9, 5, 7, 2, 3, 7, 2, 3, 5, 6, 2, 7, 8, 1, 5, 2, 8, 1, 9, 7, 2, 3, 2, 4, 7, 5, 6, 6, 3, 7, 2, 7, 3, 0, 1, 8, 6, 8, 5, 2, 6, 0, 3, 1, 4, 4, 2, 2, 2, 0, 1, 7, 5, 9, 9, 2, 4, 6, 6, 9, 8, 8, 9, 9, 1, 8, 0, 3, 9, 0, 0, 0, 8, 3, 0, 4, 1, 8, 5, 4, 9, 1, 9
OFFSET
1,2
LINKS
Simon Plouffe, Numbers in the base e^Pi, 2025.
FORMULA
Empirical: Equals Sum_{k>=0} A226255(k) / exp(k*Pi).
EXAMPLE
1.5939572372356278152819723247566372730...
MATHEMATICA
First[RealDigits[Exp[11*Pi/8]*Pi^(11/4)/(64*2^(7/8)*Gamma[3/4]^11), 10, 100]] (* Paolo Xausa, Sep 21 2025 *)
PROG
(PARI) (1/128) * exp(11/8 * Pi) * Pi^(11/4) * 2^(1/8) / gamma(3/4)^11
CROSSREFS
Cf. A226255.
Sequence in context: A198133 A111453 A222074 * A388522 A385193 A245735
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 18 2025
STATUS
approved