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A019774 Decimal expansion of sqrt(e). 34
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 (list; constant; graph; refs; listen; history; text; internal format)
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

Continued fraction representation: sqrt(e) = 1 + 1/(1 + 2/(3 + 4/(5 + ... ))). See A000354 for details. - Peter Bala, Jan 30 2015

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=(x-d)*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 * A254250 A195434 A199815

Adjacent sequences:  A019771 A019772 A019773 * A019775 A019776 A019777

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified March 31 10:00 EDT 2015. Contains 256081 sequences.