A292829 Decimal expansion of Product_{k>=1} (1 + exp(-2*Pi*(2*k-1))).

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

Offset

1,5

Links

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

Index entries for transcendental numbers.

Formula

Equals 2^(1/16) / (exp(Pi/12) * (sqrt(2)-1)^(1/4)).

Equals A292821 / A292822.

Example

1.001867449256304435105432750510732150159885395483789405664498761179818...

Mathematica

RealDigits[2^(1/16) / (E^(Pi/12) * (Sqrt[2]-1)^(1/4)), 10, 120][[1]]

Prog

(PARI) 2^(1/16)/(exp(Pi/12)*(sqrt(2)-1)^(1/4)) \\ Charles R Greathouse IV, Jul 09 2026

Crossrefs

Cf. A259149, A292821, A292825, A292822.

Cf. A292827, A292828.

Sequence in context: A004497 A091899 A388162 * A394351 A182369 A104175

Adjacent sequences: A292826 A292827 A292828 * A292830 A292831 A292832

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 24 2017

Status

approved