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 A049470 Decimal expansion of cos(1). 37
 5, 4, 0, 3, 0, 2, 3, 0, 5, 8, 6, 8, 1, 3, 9, 7, 1, 7, 4, 0, 0, 9, 3, 6, 6, 0, 7, 4, 4, 2, 9, 7, 6, 6, 0, 3, 7, 3, 2, 3, 1, 0, 4, 2, 0, 6, 1, 7, 9, 2, 2, 2, 2, 7, 6, 7, 0, 0, 9, 7, 2, 5, 5, 3, 8, 1, 1, 0, 0, 3, 9, 4, 7, 7, 4, 4, 7, 1, 7, 6, 4, 5, 1, 7, 9, 5, 1, 8, 5, 6, 0, 8, 7, 1, 8, 3, 0, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Also, decimal expansion of the real part of e^i. - Bruno Berselli, Feb 08 2013 By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 13 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 0.245.7). Simon Plouffe, cos(1) Eric Weisstein's World of Mathematics, Factorial Sums FORMULA Continued fraction representation: cos(1) = 1/(1 + 1/(1 + 2/(11 + 12/(29 + ... + (2*n - 2)*(2*n - 3)/((4*n^2 - 2*n - 1) + ... ))))). See A275651 for proof. Cf. A073743. - Peter Bala, Sep 02 2016 Equals Sum_{k >= 0} (-1)^k/A010050(k), where A010050(k) = (2k)! [See Gradshteyn and Ryzhik]. - A.H.M. Smeets, Sep 22 2018 EXAMPLE 0.5403023058681397... MAPLE evalf(cos(1)); # Altug Alkan, Sep 22 2018 MATHEMATICA RealDigits[Cos[1], 10, 110] [[1]] PROG (PARI) cos(1) \\ Charles R Greathouse IV, Jan 04 2016 CROSSREFS Cf. A049469 (imaginary part of e^i), A211883 (real part of -(i^e)), A211884 (imaginary part of -(i^e)). - Bruno Berselli, Feb 08 2013 Cf. A073743 ( cosh(1) ), A275651. Sequence in context: A159799 A185579 A197134 * A309699 A153106 A021189 Adjacent sequences:  A049467 A049468 A049469 * A049471 A049472 A049473 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 August 8 23:02 EDT 2020. Contains 336300 sequences. (Running on oeis4.)