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A037598 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0. 0

%I #13 Feb 13 2017 02:48:17

%S 1,8,40,201,1008,5040,25201,126008,630040,3150201,15751008,78755040,

%T 393775201,1968876008,9844380040,49221900201,246109501008,

%U 1230547505040,6152737525201,30763687626008,153818438130040,769092190650201

%N Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,0,1,-5).

%H <a href="/index/Ar#5-automatic">Index entries for 5-automatic sequences</a>.

%F G.f.: x*(1+3*x) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - _R. J. Mathar_, Apr 27 2015

%F A007091(a(n)) = A037603(n). - _R. J. Mathar_, Apr 27 2015

%o (PARI) a(n)=([0,1,0,0; 0,0,1,0; 0,0,0,1; -5,1,0,5]^(n-1)*[1;8;40;201])[1,1] \\ _Charles R Greathouse IV_, Feb 13 2017

%Y Cf. A007091.

%K nonn,base,easy

%O 1,2

%A _Clark Kimberling_

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)