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A019798 Decimal expansion of sqrt(2*e). 8
2, 3, 3, 1, 6, 4, 3, 9, 8, 1, 5, 9, 7, 1, 2, 4, 2, 0, 3, 3, 6, 3, 5, 3, 6, 0, 6, 2, 1, 6, 8, 4, 0, 0, 8, 7, 6, 3, 8, 0, 2, 3, 6, 2, 9, 9, 1, 8, 7, 5, 8, 8, 4, 2, 3, 0, 0, 8, 0, 9, 6, 4, 4, 7, 7, 7, 6, 0, 1, 0, 0, 4, 9, 4, 1, 2, 6, 5, 7, 3, 4, 9, 5, 0, 2, 6, 2, 9, 9, 9, 1, 7, 9, 5, 4, 7, 7, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The coefficient a for which y=a*sqrt(x) kisses the exponential function y=exp(x). The kissing point is (0.5, sqrt(e)). For more details, see A257776. Also, inverse of this constant equals the maximum value of sqrt(x)*exp(-x) for positive x, attained at x=1/2. - Stanislav Sykora, Nov 04 2015

LINKS

Ivan Panchenko, Table of n, a(n) for n = 1..1000

EXAMPLE

2.3316439815971242033635360621684008763802362991875884230...

MATHEMATICA

RealDigits[Sqrt[2*E], 10, 100][[1]] (* G. C. Greubel, Sep 08 2018 *)

PROG

(PARI) sqrt(2*exp(1)) \\ Michel Marcus, Nov 05 2015

(MAGMA) SetDefaultRealField(RealField(100)); R:= RealField(); Sqrt(2*Exp(1)); // G. C. Greubel, Sep 08 2018

CROSSREFS

Cf. A001113, A019774, A257775, A257776.

Sequence in context: A138677 A193885 A076239 * A214734 A120653 A323850

Adjacent sequences:  A019795 A019796 A019797 * A019799 A019800 A019801

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 31 12:48 EDT 2020. Contains 334748 sequences. (Running on oeis4.)