

A020793


Decimal expansion of 1/6.


6



1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6
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OFFSET

0,2


COMMENTS

Except for the first term identical to A010722, A040006 and A021019. Except for the first terms the same as A021028, A021100, A021388, A071279, A101272, A168608, A177057,...  M. F. Hasler, Oct 24 2011
Decimal expansion of gamma(1) = 5/3 (with offset 1), where gamma(n) = Cp(n)/Cv(n) = is the nth Poisson's constant. For the definition of Cp and Cv see A272002.  Natan Arie Consigli, Jul 10 2016


LINKS

Table of n, a(n) for n=0..98.
Wikipedia, Poisson's constant.


FORMULA

a(n) = 6^n mod 10.  Zerinvary Lajos, Nov 26 2009
Equals Sum_{k>=1} 1/7^k.  Bruno Berselli, Jan 03 2014
10 * 1/6 = 5/3 = (5/2 R)/(3/2 R) = Cp(1)/Cv(1) = A272002/A272001, with R = A081822 (or A070064).  Natan Arie Consigli, Jul 10 2016
G.f.: (1 + 5*x)/(1  x).  Ilya Gutkovskiy, Jul 10 2016
Equals Sum_{k>=1} 1/(k*Pi)^2.  Maciej Kaniewski, Sep 14 2017
Equals Sum_{k>=1} (zeta(2*k)1)/4^k.  Amiram Eldar, Jun 08 2021


MATHEMATICA

RealDigits[1/6, 10, 120][[1]] (* or *) PadRight[{1}, 120, {6}] (* Harvey P. Dale, Dec 30 2018 *)


PROG

(PARI) a(n)=65*!n \\ M. F. Hasler, Oct 24 2011


CROSSREFS

Sequence in context: A165057 A165059 A010722 * A021019 A177057 A082510
Adjacent sequences: A020790 A020791 A020792 * A020794 A020795 A020796


KEYWORD

nonn,cons,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



