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 A073743 Decimal expansion of cosh(1). 34
 1, 5, 4, 3, 0, 8, 0, 6, 3, 4, 8, 1, 5, 2, 4, 3, 7, 7, 8, 4, 7, 7, 9, 0, 5, 6, 2, 0, 7, 5, 7, 0, 6, 1, 6, 8, 2, 6, 0, 1, 5, 2, 9, 1, 1, 2, 3, 6, 5, 8, 6, 3, 7, 0, 4, 7, 3, 7, 4, 0, 2, 2, 1, 4, 7, 1, 0, 7, 6, 9, 0, 6, 3, 0, 4, 9, 2, 2, 3, 6, 9, 8, 9, 6, 4, 2, 6, 4, 7, 2, 6, 4, 3, 5, 5, 4, 3, 0, 3, 5, 5, 8, 7, 0, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Also decimal expansion of cos(i). - N. J. A. Sloane, Feb 12 2010 cosh(x) = (e^x + e^(-x))/2. Equals Sum_{n>=0} 1/A010050(n). See Gradsteyn-Ryzhik (0.245.5). - R. J. Mathar, Oct 27 2012 By the Lindemann-Weierstrass theorem, this constant is transcendental. - Charles R Greathouse IV, May 14 2019 REFERENCES S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, p. 218. LINKS Ivan Panchenko, Table of n, a(n) for n = 1..1000 Eric Weisstein's World of Mathematics, Hyperbolic Cosine Eric Weisstein's World of Mathematics, Hyperbolic Functions Eric Weisstein's World of Mathematics, Factorial Sums Index entries for transcendental numbers FORMULA Continued fraction representation: cosh(1) = 1 + 1/(2 - 2/(13 - 12/(31 - ... - (2*n - 4)*(2*n - 5)/((4*n^2 - 10*n + 7) - ... )))). See A051396 for proof. Cf. A049470 (cos(1)) and A073742 (sinh(1)). - Peter Bala, Sep 05 2016 Equals Product_{k>=0} 1 + 4/((2*k+1)*Pi)^2. - Amiram Eldar, Jul 16 2020 EXAMPLE 1.54308063481524377847790562075... MAPLE Digits:=100: evalf(cosh(1)); # Wesley Ivan Hurt, Nov 18 2014 MATHEMATICA RealDigits[Cosh[1], 10, 120][[1]] (* Harvey P. Dale, Aug 03 2014 *) PROG (PARI) cosh(1) CROSSREFS Cf. A068118 (continued fraction), A073746 (sech(1)=1/A073743), A073742 (sinh(1)), A073744 (tanh(1)), A073745 (csch(1)), A073747 (coth(1)), A049470 (cos(1)). Sequence in context: A019712 A020799 A199432 * A021652 A360778 A022961 Adjacent sequences: A073740 A073741 A073742 * A073744 A073745 A073746 KEYWORD cons,nonn AUTHOR Rick L. Shepherd, Aug 07 2002 STATUS approved

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Last modified September 25 19:30 EDT 2023. Contains 365648 sequences. (Running on oeis4.)