A292828 Decimal expansion of Product_{k>=1} (1 + exp(-Pi*(2*k-1))).

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

Offset

1,3

References

A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 1 (Overseas Publishers Association, Amsterdam, 1986), p. 757, section 6.2.3, formula 5.

Links

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

Eric Weisstein's World of Mathematics, Infinite Product, formula 50.

Formula

Equals 2^(1/4) * exp(-Pi/24).

Equals A292820 / A292821.

Example

1.043298262644687012527875688815591456103311209998752645741477289470472...

Mathematica

RealDigits[2^(1/4) * E^(-Pi/24), 10, 120][[1]]

Crossrefs

Cf. A259148, A292820, A292824.

Cf. A292827, A292829.

Sequence in context: A018866 A021235 A273991 * A020703 A084483 A266150

Adjacent sequences: A292825 A292826 A292827 * A292829 A292830 A292831

Keyword

nonn,cons

Author

Vaclav Kotesovec, Sep 24 2017

Status

approved