login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A292864 Decimal expansion of Product_{k>=1} (1 - exp(-16*Pi*k)). 9
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 2, 0, 9, 6, 5, 3, 8, 4, 0, 3, 8, 2, 1, 4, 3, 4, 7, 4, 5, 7, 7, 5, 5, 7, 0, 0, 4, 9, 4, 1, 6, 3, 1, 3, 1, 4, 3, 4, 3, 3, 1, 1, 3, 7, 1, 7, 6, 6, 7, 2, 0, 2, 2, 1, 4, 4, 9, 4, 7, 6, 1, 6, 8, 9, 7, 0, 9, 0, 9, 5, 2, 0, 5, 8, 6, 9, 3, 8, 7, 6, 7, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..105.

Eric Weisstein's World of Mathematics, Dedekind Eta Function

Eric Weisstein's World of Mathematics, q-Pochhammer Symbol

Wikipedia, Dedekind eta function

Wikipedia, Euler function

FORMULA

Equals (3*sqrt(22*sqrt(2) - 24) - 8)^(1/8) * exp(2*Pi/3) * Gamma(1/4) / (2^(19/8) * Pi^(3/4)).

EXAMPLE

0.999999999999999999999852096538403821434745775570049416313143433113717...

MATHEMATICA

RealDigits[(3*Sqrt[-24 + 22*Sqrt[2]] - 8)^(1/8) * E^(2*Pi/3) * Gamma[1/4] / (2^(19/8)*Pi^(3/4)), 10, 120][[1]]

RealDigits[QPochhammer[E^(-16*Pi)], 10, 120][[1]]

CROSSREFS

Cf. A259147, A259148, A259149, A259150, A259151, A292862, A292863.

Sequence in context: A270172 A332550 A137577 * A099646 A181693 A271880

Adjacent sequences:  A292861 A292862 A292863 * A292865 A292866 A292867

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Sep 25 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 22 14:19 EST 2020. Contains 332136 sequences. (Running on oeis4.)