A292863 - OEIS

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A292863

Decimal expansion of Product_{k>=1} (1 - exp(-Pi*k/4)).

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

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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