A292820 Decimal expansion of Product_{k>=1} (1 + exp(-Pi*k)).

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

Offset

1,3

Links

A.H.M. Smeets, Table of n, a(n) for n = 1..10000

Formula

Equals exp(Pi/24) / 2^(1/8).

Equals A259149 / A259148.

Equals Sum_{k>=0} A000009(k) / exp(k*Pi). - Simon Plouffe, Sep 09 2025

Example

1.045250214354711942547595012203562068003424782155586915500520985257117...

Mathematica

RealDigits[E^(Pi/24) / 2^(1/8), 10, 120][[1]]
RealDigits[QPochhammer[-1, E^(-Pi)]/2, 10, 120][[1]]

Prog

(PARI) exp(Pi/24)/sqrtn(2, 8) \\ Charles R Greathouse IV, Mar 13 2018

Crossrefs

Cf. A000009, A259148, A292824, A292828, A292819, A292821, A292822.

Sequence in context: A105662 A021225 A388690 * A388486 A388430 A388177

Adjacent sequences: A292817 A292818 A292819 * A292821 A292822 A292823

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 24 2017

Status

approved