A388106 Decimal expansion of (1/64) * Pi^(7/2) / Gamma(3/4)^14.

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

Offset

0,2

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A002470(k) / exp(k*Pi).

Example

0.04987368335963342499169284863527629142...

Mathematica

First[RealDigits[Pi^(7/2)/(64*Gamma[3/4]^14), 10, 100, -1]]

Prog

(PARI) 1/64 * Pi^(7/2) / gamma(3/4)^14

Crossrefs

Cf. A002470.

Sequence in context: A197580 A081382 A381115 * A188658 A248803 A376152

Adjacent sequences: A388103 A388104 A388105 * A388107 A388108 A388109

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved