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Table[FromDigits[PadRight[{}, n, {2, 2, 1}], 6], {n, 20}] (* or *) LinearRecurrence[{6, 0, 1, -6}, {2, 14, 85, 512}, 20] (* Harvey P. Dale, Mar 14 2023 *)
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<a href="/index/Rec#order_04">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (6,0,1,-6).
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<a href="/index/Rec#order_04">Index to sequences with linear recurrences with constant coefficients</a>, signature (6,0,1,-6).
G.f.: x*(2+2*x+x^2) / ( (x-1)*(6*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 30 2015
nonn,base,easy
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Clark Kimberling (ck6(AT)evansville.edu)
nonn,base,new
Clark Kimberling, (ck6(AT)evansville.edu)
nonn,base,new
Clark Kimberling, ck6@cedar.(AT)evansville.edu
Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,2,1.
2, 14, 85, 512, 3074, 18445, 110672, 664034, 3984205, 23905232, 143431394, 860588365, 5163530192, 30981181154, 185887086925, 1115322521552, 6691935129314, 40151610775885, 240909664655312, 1445457987931874
1,1
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Clark Kimberling, ck6@cedar.evansville.edu
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