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%I #9 Feb 13 2017 02:50:50
%S 1,8,42,211,1058,5292,26461,132308,661542,3307711,16538558,82692792,
%T 413463961,2067319808,10336599042,51682995211,258414976058,
%U 1292074880292,6460374401461,32301872007308,161509360036542,807546800182711
%N Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2.
%H <a href="/index/Ar#5-automatic">Index entries for 5-automatic sequences</a>.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,0,1,-5).
%F G.f.: x*(1+x)*(2*x+1) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - _R. J. Mathar_, Apr 27 2015
%F A007091(a(n)) = A037617(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;42;211])[1,1] \\ _Charles R Greathouse IV_, Feb 13 2017
%K nonn,base,easy
%O 1,2
%A _Clark Kimberling_