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A037504 Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0. 2

%I #15 Jun 13 2015 00:49:15

%S 1,5,15,46,140,420,1261,3785,11355,34066,102200,306600,919801,2759405,

%T 8278215,24834646,74503940,223511820,670535461,2011606385,6034819155,

%U 18104457466,54313372400,162940117200,488820351601

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

%H Harvey P. Dale, <a href="/A037504/b037504.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (3,0,1,-3).

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

%t Module[{nn=30,d},d=PadRight[{},nn,{1,2,0}];Table[FromDigits[Take[d,n],3],{n,nn}]] (* or *) LinearRecurrence[{3,0,1,-3},{1,5,15,46},30] (* _Harvey P. Dale_, Apr 25 2015 *)

%K nonn,base,easy

%O 1,2

%A _Clark Kimberling_

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)