A387545 Decimal expansion of 2^(3/8) * Gamma(3/4) / (Pi^(1/4) * exp(Pi/24)).

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

Offset

1,3

Links

James C. McMahon, Table of n, a(n) for n = 1..10000

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

Formula

Equals Sum_{k>=0} A000041(k) / exp(k*Pi).

Example

1.04720947004604213021979886316541...

Mathematica

RealDigits[ 2^(3/8) * Gamma[3/4] / (Pi^(1/4) * Exp[Pi/24]), 10, 87][[1]] (* James C. McMahon, Sep 09 2025 *)

Prog

(PARI) 2^(3/8) * gamma(3/4) / (Pi^(1/4) * exp(Pi/24))

Crossrefs

Cf. A000041.

Sequence in context: A388933 A388692 A388934 * A388800 A388812 A139346

Adjacent sequences: A387542 A387543 A387544 * A387546 A387547 A387548

Keyword

nonn,cons

Author

Simon Plouffe, Sep 01 2025

Status

approved