A388074 Decimal expansion of Pi^(5/4) / Gamma(3/4)^5.

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

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} A000132(k) / exp(k*Pi).

Example

1.51362524832969719205469025639196316038727965844500412995758137608787554292....

Mathematica

First[RealDigits[Pi^(5/4)/Gamma[3/4]^5, 10, 100]]

Prog

(PARI) Pi^(5/4) / gamma(3/4)^5

Crossrefs

Cf. A000132.

Sequence in context: A300475 A143113 A053544 * A174879 A390631 A327965

Adjacent sequences: A388071 A388072 A388073 * A388075 A388076 A388077

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 14 2025

Status

approved