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Decimal expansion of 13/36.
1

%I #16 Aug 07 2024 13:33:28

%S 3,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

%T 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

%U 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1

%N Decimal expansion of 13/36.

%H Brady Haran and Grant Sanderson, <a href="https://www.youtube.com/watch?v=pJyKM-7IgAU">More on Bertrand's Paradox (with 3blue1brown)</a>, Numberphile video (2021).

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).

%F From _Stefano Spezia_, Aug 04 2024: (Start)

%F G.f.: (3 + 3*x - 5*x^2)/(1 - x).

%F a(n) = 1 for n > 1.

%F E.g.f.: exp(x) + 5*x + 2. (End)

%e .36111111111111111111111111111111111111111111111111111111111...

%t PadRight[{3, 6}, 100, 1] (* _Paolo Xausa_, Aug 07 2024 *)

%o (PARI) 13/36. \\ _Charles R Greathouse IV_, Mar 25 2014

%Y A companion to A177022.

%K nonn,cons,easy

%O 0,1

%A _Rick L. Shepherd_ and _N. J. A. Sloane_, Jun 18 2010