%I #42 Jun 29 2023 11:41:13
%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 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>.
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F a(n) = 6^n mod 10. - _Zerinvary Lajos_, Nov 26 2009
%F Equals Sum_{k>=1} 1/7^k. - _Bruno Berselli_, Jan 03 2014
%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
%F Equals Sum_{k>=1} (zeta(2*k)-1)/4^k. - _Amiram Eldar_, Jun 08 2021
%t RealDigits[1/6,10,120][[1]] (* or *) PadRight[{1},120,{6}] (* _Harvey P. Dale_, Dec 30 2018 *)
%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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