

A019774


Decimal expansion of sqrt(e).


33



1, 6, 4, 8, 7, 2, 1, 2, 7, 0, 7, 0, 0, 1, 2, 8, 1, 4, 6, 8, 4, 8, 6, 5, 0, 7, 8, 7, 8, 1, 4, 1, 6, 3, 5, 7, 1, 6, 5, 3, 7, 7, 6, 1, 0, 0, 7, 1, 0, 1, 4, 8, 0, 1, 1, 5, 7, 5, 0, 7, 9, 3, 1, 1, 6, 4, 0, 6, 6, 1, 0, 2, 1, 1, 9, 4, 2, 1, 5, 6, 0, 8, 6, 3, 2, 7, 7, 6, 5, 2, 0, 0, 5, 6, 3, 6, 6, 6, 4
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OFFSET

1,2


COMMENTS

Also where x^(x^(2)) is a maximum.  Robert G. Wilson v, Oct 22 2014


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000


FORMULA

Sqrt(e) = Sum_(n=0, inf) 1/(2^n n!) = Sum_(n=0, inf) 1/(2n)!!.  Daniel Forgues, Apr 17 2011
sqrt(e) = 1 + sum(n>0, prod(i=1..n, 1/(2n) )).  Ralf Stephan, Sep 11 2013


EXAMPLE

1.6487212707001281468486507878141635716537761007101480115750...


MATHEMATICA

RealDigits[N[Sqrt[E], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2011*)


PROG

(PARI) { default(realprecision, 20080); x=sqrt(exp(1)); for (n=1, 20000, d=floor(x); x=(xd)*10; write("b019774.txt", n, " ", d)); } \\ Harry J. Smith, May 01 2009


CROSSREFS

Cf. A058281 for continued fraction for sqrt(e).
Sequence in context: A197833 A176786 A077669 * A195434 A199815 A155906
Adjacent sequences: A019771 A019772 A019773 * A019775 A019776 A019777


KEYWORD

nonn,cons


AUTHOR

N. J. A. Sloane


STATUS

approved



