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

Author

Bruno Berselli, Dec 31 2012

Keywords

• nonn
• cons

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,...

Examples

			0.63896127631363480115003291146470178425723053783057972949558695664632...
		

Links

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

Crossrefs

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

Programs

Mathematica

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

Maxima

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

PARI

sin(log(2))

Formula

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