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A037606 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3. 0

%I

%S 1,8,51,307,1844,11067,66403,398420,2390523,14343139,86058836,

%T 516353019,3098118115,18588708692,111532252155,669193512931,

%U 4015161077588,24090966465531,144545798793187,867274792759124,5203648756554747

%N Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.

%H <a href="/index/Ar#6-automatic">Index entries for 6-automatic sequences</a>.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,0,1,-6).

%F G.f.: x*(1+2*x+3*x^2) / ( (x-1)*(6*x-1)*(1+x+x^2) ). - _R. J. Mathar_, Apr 27 2015

%F A007092(a(n)) = A037610(n). - _R. J. Mathar_, Apr 27 2015

%t nn=30;With[{c=PadRight[{},nn,{1,2,3}]},Table[FromDigits[Take[c,n],6],{n,nn}]] (* _Harvey P. Dale_, Aug 25 2012 *)

%o (PARI) a(n)=([0,1,0,0; 0,0,1,0; 0,0,0,1; -6,1,0,6]^(n-1)*[1;8;51;307])[1,1] \\ _Charles R Greathouse IV_, Feb 13 2017

%K nonn,base,easy

%O 1,2

%A _Clark Kimberling_

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Last modified August 2 02:10 EDT 2021. Contains 346408 sequences. (Running on oeis4.)