A388484 Decimal expansion of (3/64) * exp(Pi) * Pi^3 / Gamma(3/4)^12.

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

Offset

1,1

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} A096960(k) / exp(k*Pi).

Example

2.9333352882681704917302175639473847862...

Mathematica

First[RealDigits[(3*Pi^3*Exp[Pi])/(64*Gamma[3/4]^12), 10, 100]]

Prog

(PARI) (3/64) * exp(Pi) * Pi^3 / gamma(3/4)^12

Crossrefs

Cf. A096960.

Sequence in context: A021345 A375771 A011066 * A071194 A347359 A346839

Adjacent sequences: A388481 A388482 A388483 * A388485 A388486 A388487

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved