A292821 Decimal expansion of Product_{k>=1} (1 + exp(-2*Pi*k)).

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

Offset

1,5

Links

Table of n, a(n) for n=1..105.

Formula

Equals exp(Pi/12) / 2^(3/8).

Equals A259150 / A259149.

Example

1.001870943123279886463534087967415218083199719502631259194986391297521...

Mathematica

RealDigits[E^(Pi/12) / 2^(3/8), 10, 120][[1]]
RealDigits[QPochhammer[-1, E^(-2*Pi)]/2, 10, 120][[1]]

Prog

(PARI) exp(Pi/12)/sqrtn(8, 8) \\ Charles R Greathouse IV, Mar 13 2018

Crossrefs

Cf. A259149, A292825, A292829, A292819, A292820, A292822.

Sequence in context: A155094 A369633 A294969 * A261303 A259348 A257238

Adjacent sequences: A292818 A292819 A292820 * A292822 A292823 A292824

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 24 2017

Status

approved