A388362 Decimal expansion of 32 * exp(-5*Pi/8) * 2^(5/8) * Gamma(3/4)^15 / Pi^(15/4).

1, 9, 9, 7, 5, 7, 6, 4, 7, 1, 8, 2, 0, 1, 1, 4, 9, 9, 0, 7, 6, 4, 7, 9, 9, 5, 4, 1, 4, 9, 6, 1, 0, 7, 1, 3, 2, 1, 4, 4, 3, 5, 5, 4, 3, 3, 7, 2, 0, 9, 5, 7, 0, 6, 9, 5, 6, 4, 8, 4, 7, 7, 4, 8, 4, 8, 6, 6, 3, 6, 8, 6, 4, 2, 2, 2, 8, 8, 3, 8, 9, 5, 6, 2, 6, 9, 9

Offset

1,2

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A023013(k) / exp(k*Pi).

Example

1.9975764718201149907647995414961071321...

Mathematica

First[RealDigits[(32*2^(5/8)*Exp[(-5*Pi)/8]*Gamma[3/4]^15)/Pi^(15/4), 10, 100]]

Prog

(PARI) 32 * exp(-5/8 * Pi) * 2^(5/8) * gamma(3/4)^15 / Pi^(15/4)

Crossrefs

Cf. A023013.

Sequence in context: A201570 A019895 A196399 * A239528 A244347 A388892

Adjacent sequences: A388359 A388360 A388361 * A388363 A388364 A388365

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved