A388825 Decimal expansion of (sqrt(2/5+1 / sqrt(5)) * Pi) / Gamma(3/4)^4.

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

Offset

1,2

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} A236930(k) / exp(k*Pi).

Example

1.28236350236812918364618842184095120379942564412839861391255779208988698608....

Mathematica

First[RealDigits[(Sqrt[2/5 + 1/Sqrt[5]]*Pi)/Gamma[3/4]^4, 10, 100]]

Prog

(PARI) (1/800) * Pi * 5^(3/4) * sqrt(2) * (5-5^(1/2))^(3/2) * (5^(1/2)+1)^3 / gamma(3/4)^4

Crossrefs

Cf. A236930.

Sequence in context: A199715 A296049 A388166 * A074962 A064863 A021358

Adjacent sequences: A388822 A388823 A388824 * A388826 A388827 A388828

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved