A292822 Decimal expansion of Product_{k>=1} (1 + exp(-4*Pi*k)).

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

Offset

1,7

Links

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

Formula

Equals (sqrt(2)-1)^(1/4) * exp(Pi/6) / 2^(7/16).

Equals A259151 / A259150.

Example

1.000003487354517850528220552455791209822402742286018866860756711528779...

Mathematica

RealDigits[(Sqrt[2]-1)^(1/4) * E^(Pi/6) / 2^(7/16), 10, 120][[1]]
RealDigits[QPochhammer[-1, E^(-4*Pi)]/2, 10, 120][[1]]

Crossrefs

Cf. A259150, A292826.

Cf. A292819, A292820, A292821.

Sequence in context: A081543 A328876 A105753 * A255703 A255700 A255697

Adjacent sequences: A292819 A292820 A292821 * A292823 A292824 A292825

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 24 2017

Status

approved