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A020793 Decimal expansion of 1/6. 5

%I

%S 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,

%T 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,

%U 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

%N Decimal expansion of 1/6.

%C 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

%C Also, decimal expansion of Sum_{k>=1} 1/7^k. - _Bruno Berselli_, Jan 03 2014

%C Decimal expansion of gamma(1) = 5/3 (with offset 1), where gamma(n) = Cp(n)/Cv(n) = is the n-th Poisson's constant. For the definition of Cp and Cv see A272002. - _Natan Arie' Consigli_, Jul 10 2016

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heat_capacity_ratio">Poisson's constant</a>.

%F a(n) = 6^n mod 10. - _Zerinvary Lajos_, Nov 26 2009

%F 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

%F G.f.: (1 + 5*x)/(1 - x). - _Ilya Gutkovskiy_, Jul 10 2016

%F Equals Sum_{k>=1} 1/(k*Pi)^2 - Maciej Kaniewski, Sep 14 2017

%o (PARI) a(n)=6-5*!n \\ _M. F. Hasler_, Oct 24 2011

%K nonn,cons,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)