A388111 Decimal expansion of (9/256) * exp(Pi) * Pi^(9/2) / Gamma(3/4)^18.

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

Offset

1,1

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A002613(k) / exp(k*Pi).

Example

3.6178037651189079341876203665901295295...

Mathematica

First[RealDigits[(9*Pi^(9/2)*Exp[Pi])/(256*Gamma[3/4]^18), 10, 100]]

Prog

(PARI) (9/256) * exp(Pi) * Pi^(9/2) / gamma(3/4)^18

Crossrefs

Cf. A002613.

Sequence in context: A072452 A155830 A340310 * A096602 A288853 A296184

Adjacent sequences: A388108 A388109 A388110 * A388112 A388113 A388114

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved