A389068 Decimal expansion of 4 * exp(-Pi/6) * 2^(1/4) * Gamma(3/4)^7 / Pi^(7/4).

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

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} A350644(k) / exp(k*Pi).

Example

1.5772325181345541914860946420382287501...

Mathematica

First[RealDigits[(4*2^(1/4)*Exp[-1/6*Pi]*Gamma[3/4]^7)/Pi^(7/4), 10, 100]]

Prog

(PARI) 4 * exp(-1/6 * Pi) * 2^(1/4) * gamma(3/4)^7 / Pi^(7/4)

Crossrefs

Cf. A350644.

Sequence in context: A001620 A242220 A357068 * A245726 A101456 A084823

Adjacent sequences: A389065 A389066 A389067 * A389069 A389070 A389071

Keyword

nonn,cons

Author

Simon Plouffe, Sep 22 2025

Status

approved