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A388231
Decimal expansion of (1/4096) * exp(31*Pi/24) * Pi^(31/4) * 2^(3/8) / Gamma(3/4)^31.
2
2, 3, 9, 3, 0, 9, 3, 1, 8, 9, 8, 0, 0, 2, 2, 1, 9, 3, 9, 0, 0, 2, 2, 9, 0, 6, 2, 8, 5, 2, 0, 4, 8, 8, 6, 0, 8, 4, 6, 8, 3, 2, 5, 4, 6, 9, 0, 4, 0, 0, 9, 6, 2, 4, 1, 3, 0, 9, 9, 2, 5, 1, 6, 7, 4, 0, 1, 2, 0, 2, 9, 6, 7, 3, 3, 1, 6, 6, 2, 6, 6, 9, 9, 7, 6, 4, 6
OFFSET
0,1
LINKS
Simon Plouffe, Numbers in the base e^Pi, 2025.
FORMULA
Empirical: Equals Sum_{k>=0} A010836(k) / exp(k*Pi).
EXAMPLE
0.23930931898002219390022906285204886085...
MATHEMATICA
First[RealDigits[Exp[31*Pi/24]*Pi^(31/4)*2^(3/8)/(4096*Gamma[3/4]^31), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)
PROG
(PARI) (1/4096) * exp(31/24 * Pi) * Pi^(31/4) * 2^(3/8) / gamma(3/4)^31
CROSSREFS
Cf. A010836.
Sequence in context: A021422 A392067 A193086 * A281289 A377024 A331388
KEYWORD
nonn,cons
AUTHOR
Simon Plouffe, Sep 15 2025
STATUS
approved