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 A019775 Decimal expansion of sqrt(e)/2. 3
 8, 2, 4, 3, 6, 0, 6, 3, 5, 3, 5, 0, 0, 6, 4, 0, 7, 3, 4, 2, 4, 3, 2, 5, 3, 9, 3, 9, 0, 7, 0, 8, 1, 7, 8, 5, 8, 2, 6, 8, 8, 8, 0, 5, 0, 3, 5, 5, 0, 7, 4, 0, 0, 5, 7, 8, 7, 5, 3, 9, 6, 5, 5, 8, 2, 0, 3, 3, 0, 5, 1, 0, 5, 9, 7, 1, 0, 7, 8, 0, 4, 3, 1, 6, 3, 8, 8, 2, 6, 0, 0, 2, 8, 1, 8, 3, 3, 2, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Ivan Panchenko, Table of n, a(n) for n = 0..1000 Pratchayaporn Doemlim, Vichian Laohakoso and Janyarak Tongsomporn, The Continued Fractions of Certain Exponentials, Walailak Journal of Science and Technology, Vol. 16, No. 09, Sept. 2019, pp. 615 - 624. FORMULA From Amiram Eldar, Jul 21 2020: (Start) Equals Sum_{k>=0} 1/(2^(k+1)*k!). Equals Sum_{k>=0} 1/(2^k*(k-1)!). Equals Sum_{k>=0} k/(2*k)!!. Equals A019774/2. (End) From Peter Bala, Jun 29 2024: (Start) Equals Sum_{n >= 0} 1/((1 - 4*n^2)*(2^n)*n!). Continued fraction expansion [0; 1, 4, 1, 2, 3, 1, 4, 3, 1, ..., 2*n, 3, 1, ...]. (End) EXAMPLE 0.82436063535006407342432539390708178582688805035507... MATHEMATICA RealDigits[Sqrt[E]/2, 10, 120][[1]] (* Harvey P. Dale, Jun 18 2014 *) CROSSREFS Cf. A019774. Sequence in context: A357465 A125578 A083729 * A274211 A138499 A153387 Adjacent sequences: A019772 A019773 A019774 * A019776 A019777 A019778 KEYWORD nonn,cons AUTHOR N. J. A. Sloane. STATUS approved

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Last modified July 25 08:47 EDT 2024. Contains 374587 sequences. (Running on oeis4.)