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 A073744 Decimal expansion of tanh(1). 13
 7, 6, 1, 5, 9, 4, 1, 5, 5, 9, 5, 5, 7, 6, 4, 8, 8, 8, 1, 1, 9, 4, 5, 8, 2, 8, 2, 6, 0, 4, 7, 9, 3, 5, 9, 0, 4, 1, 2, 7, 6, 8, 5, 9, 7, 2, 5, 7, 9, 3, 6, 5, 5, 1, 5, 9, 6, 8, 1, 0, 5, 0, 0, 1, 2, 1, 9, 5, 3, 2, 4, 4, 5, 7, 6, 6, 3, 8, 4, 8, 3, 4, 5, 8, 9, 4, 7, 5, 2, 1, 6, 7, 3, 6, 7, 6, 7, 1, 4, 4, 2, 1, 9, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Also decimal expansion of tan(i)/i. - N. J. A. Sloane, Feb 12 2010 tanh(x) = (e^x - e^(-x)) / (e^x + e^(-x)). 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 = 0..1000 Eric Weisstein's World of Mathematics, Hyperbolic Tangent Eric Weisstein's World of Mathematics, Hyperbolic Functions FORMULA Equals Sum_{k>=1} bernoulli(2*k)*2^(2*k)*(2^(2*k)-1)/(2*k)!, where bernoulli(k) = A027641(k)/A027642(k) is the k-th Bernoulli number. - Amiram Eldar, Aug 19 2020 EXAMPLE 0.76159415595576488811945828260... MATHEMATICA RealDigits[Tanh[1], 10, 100][[1]] (* Amiram Eldar, Aug 19 2020 *) PROG (PARI) tanh(1) CROSSREFS Cf. A004273 (continued fraction), A073747 (coth(1)=1/A073744), A073742 (sinh(1)), A073743 (cosh(1)), A073745 (csch(1)), A073746 (sech(1)). Cf. A027641, A027642. Sequence in context: A247444 A319331 A010511 * A112253 A112252 A118321 Adjacent sequences:  A073741 A073742 A073743 * A073745 A073746 A073747 KEYWORD cons,nonn AUTHOR Rick L. Shepherd, Aug 07 2002 STATUS approved

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Last modified October 22 10:18 EDT 2020. Contains 337950 sequences. (Running on oeis4.)