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 A049469 Decimal expansion of sin(1). 41
 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 By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 12 2019 LINKS Muniru A Asiru, Table of n, a(n) for n = 0..2000 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. I. S. Gradsteyn, I. M. Ryzhik, Table of integrals, series and products, (1980), page 10 (formula 0.245.8). 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 Equals Sum_{k > 0} (-1)^(k-1)/((2k-1)!) = Sum_{k > 0} (-1)^(k-1)/A009445(k-1) [See Gradshteyn and Ryzhik]. - A.H.M. Smeets, Sep 22 2018 Equals Product{k>=1} cos(1/2^k). - Amiram Eldar, Aug 20 2020 EXAMPLE 0.8414709848078965... MAPLE evalf(sin(1)); # Altug Alkan, Sep 22 2018 MATHEMATICA RealDigits[N[Sin[1], 110]] [[1]] PROG (PARI) sin(1) \\ Charles R Greathouse IV, Aug 20 2012 (PARI) sumalt(n=0, (-1)^(n%2)/(2*n+1)!) \\ Gheorghe Coserea, Sep 23 2018 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 June 12 10:27 EDT 2021. Contains 344946 sequences. (Running on oeis4.)