A388175 Decimal expansion of (15/16) * Pi^3 / Gamma(3/4)^12.

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

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} A006914(k) / exp(k*Pi).

Example

2.5352182277491905993766964391262501473...

Mathematica

First[RealDigits[(15*Pi^3)/(16*Gamma[3/4]^12), 10, 100]]

Prog

(PARI) (15/16) * Pi^3 / gamma(3/4)^12

Crossrefs

Cf. A006914.

Sequence in context: A266407 A393703 A249273 * A078376 A226123 A368658

Adjacent sequences: A388172 A388173 A388174 * A388176 A388177 A388178

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved