

A020832


Decimal expansion of 1/sqrt(75).


9



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

0,3


COMMENTS

Multiplied by 10 this is 2/sqrt(3).  Alonso del Arte, Apr 30 2012
2/sqrt(3) is Hermite's constant gamma_2.  JeanFrançois Alcover, Sep 02 2014, after Steven Finch.


LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 62.
Yining Hu, Patterns in numbers and infinite sums and products, arXiv:1506.00151 [math.NT], 2015.


FORMULA

(csc(Pi/3))/10, where csc is the cosecant function.  Alonso del Arte, Apr 30 2012
Product_{n>=1} ((3*n+1)/(3*n+2))^((1)^n)), with offset 1. (see Hu link).  Michel Marcus, Jun 02 2015


EXAMPLE

0.1154700538379251529...


MATHEMATICA

RealDigits[1/Sqrt[75], 10, 100][[1]] (* Alonso del Arte, Apr 30 2012 *)


PROG

(PARI) 75^.5 \\ Charles R Greathouse IV, Mar 31 2016


CROSSREFS

Cf. A010153 (continued fraction, but missing the initial 0).
Sequence in context: A019124 A019323 A244088 * A246724 A199276 A021870
Adjacent sequences: A020829 A020830 A020831 * A020833 A020834 A020835


KEYWORD

nonn,cons,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



