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A292863 Decimal expansion of Product_{k>=1} (1 - exp(-Pi*k/4)). 9
3, 5, 9, 8, 9, 2, 6, 7, 8, 2, 0, 3, 6, 5, 2, 8, 9, 9, 3, 3, 9, 4, 3, 0, 2, 6, 5, 5, 4, 2, 3, 2, 2, 6, 8, 4, 1, 3, 7, 9, 8, 2, 4, 0, 4, 6, 9, 9, 2, 8, 6, 5, 6, 5, 6, 7, 6, 0, 7, 3, 6, 6, 0, 8, 1, 5, 2, 1, 9, 8, 2, 6, 7, 4, 7, 9, 1, 8, 0, 7, 4, 3, 5, 2, 9, 9, 5, 9, 1, 2, 0, 5, 4, 3, 6, 6, 9, 7, 9, 7, 8, 2, 8, 5, 3, 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 (6*sqrt(22*sqrt(2)-24) - 16)^(1/8) * exp(Pi/96)* Gamma(1/4) / (2*Pi^(3/4)).

EXAMPLE

0.359892678203652899339430265542322684137982404699286565676073660815219...

MATHEMATICA

RealDigits[(6*Sqrt[22*Sqrt[2] - 24] - 16)^(1/8) * E^(Pi/96) * Gamma[1/4] / (2*Pi^(3/4)), 10, 120][[1]]

RealDigits[QPochhammer[E^(-Pi/4)], 10, 120][[1]]

CROSSREFS

Cf. A259147, A259148, A259149, A259150, A259151, A292862, A292864.

Sequence in context: A230725 A254689 A176445 * A160173 A256537 A092996

Adjacent sequences:  A292860 A292861 A292862 * A292864 A292865 A292866

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Sep 25 2017

STATUS

approved

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Last modified September 29 09:40 EDT 2020. Contains 337428 sequences. (Running on oeis4.)