A220085 Decimal expansion of sin(log(2)).

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

Offset

0,1

Comments

Imaginary part of 2^i, where i = sqrt(-1).

Continued fraction expansion: 0, 1, 1, 1, 3, 2, 1, 9, 1, 27, 1, 1, 13, 1, 4, 2, 1, 1, 6, 1, 3, 13, 7, 2, 3, 1, 3,...

Links

Bruno Berselli, Table of n, a(n) for n = 0..1000

Formula

sin(log(2)) = (2^i - 2^(-i))/(2i).

Example

0.63896127631363480115003291146470178425723053783057972949558695664632...

Mathematica

RealDigits[Sin[Log[2]], 10, 90][[1]] (* or *) RealDigits[Im[2^I], 10, 90][[1]]

Prog

(PARI) sin(log(2))
(Maxima) fpprec:90; ev(bfloat(sin(log(2))));

Crossrefs

Cf. A002162, A219705 (real part of 2^i).

Sequence in context: A301429 A198836 A271179 * A242013 A242962 A257938

Adjacent sequences: A220082 A220083 A220084 * A220086 A220087 A220088

Keyword

nonn,cons

Author

Bruno Berselli, Dec 31 2012

Status

approved