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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
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
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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