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A049469 Decimal expansion of sin(1). 34
8, 4, 1, 4, 7, 0, 9, 8, 4, 8, 0, 7, 8, 9, 6, 5, 0, 6, 6, 5, 2, 5, 0, 2, 3, 2, 1, 6, 3, 0, 2, 9, 8, 9, 9, 9, 6, 2, 2, 5, 6, 3, 0, 6, 0, 7, 9, 8, 3, 7, 1, 0, 6, 5, 6, 7, 2, 7, 5, 1, 7, 0, 9, 9, 9, 1, 9, 1, 0, 4, 0, 4, 3, 9, 1, 2, 3, 9, 6, 6, 8, 9, 4, 8, 6, 3, 9, 7, 4, 3, 5, 4, 3, 0, 5, 2, 6, 9, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also, decimal expansion of the imaginary part of e^i. [Bruno Berselli, Feb 08 2013]

LINKS

Table of n, a(n) for n=0..98.

Mohammad K. Azarian, Forty-Five Nested Equilateral Triangles and cosecant of 1 degree, Problem 813, College Mathematics Journal, Vol. 36, No. 5, November 2005, p. 413-414.

Mohammad K. Azarian, Solution of Forty-Five Nested Equilateral Triangles and cosecant of 1 degree, Problem 813, College Mathematics Journal, Vol. 37 , No. 5, November 2006, pp. 394-395.

Simon Plouffe, sin(1)

Eric Weisstein's World of Mathematics, Factorial Sums

FORMULA

Continued fraction representation: sin(1) = 1 - 1/(6 + 6/(19 + 20/(41 + ... + (2*n - 1)*(2*n - 2)/((4*n^2 + 2*n - 1) + ... )))). See A074790 for details. - Peter Bala, Jan 30 2015

EXAMPLE

0.8414709848078965...

MATHEMATICA

RealDigits[N[Sin[1], 110]] [[1]]

PROG

(PARI) sin(1) \\ Charles R Greathouse IV, Aug 20 2012

CROSSREFS

Cf. A049470 (real part of e^i), A211883 (real part of -(i^e)), A211884 (imaginary part of -(i^e)). [Bruno Berselli, Feb 08 2013].

Cf. A074790.

Sequence in context: A247036 A202320 A011267 * A021547 A154527 A145435

Adjacent sequences:  A049466 A049467 A049468 * A049470 A049471 A049472

KEYWORD

cons,easy,nonn

AUTHOR

Albert du Toit (dutwa(AT)intekom.co.za), N. J. A. Sloane.

STATUS

approved

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Last modified April 27 06:52 EDT 2017. Contains 285508 sequences.