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A037602 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0. 0

%I #12 Feb 13 2017 02:48:13

%S 1,12,108,973,8760,78840,709561,6386052,57474468,517270213,4655431920,

%T 41898887280,377089985521,3393809869692,30544288827228,

%U 274898599445053,2474087395005480

%N Base 9 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 (9,0,1,-9).

%H <a href="/index/Ar#3-automatic">Index entries for 3-automatic sequences</a>.

%F G.f.: x*(1+3*x) / ( (x-1)*(9*x-1)*(1+x+x^2) ). - _R. J. Mathar_, Apr 27 2015

%F A007095(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; -9,1,0,9]^(n-1)*[1;12;108;973])[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 April 23 11:07 EDT 2024. Contains 371905 sequences. (Running on oeis4.)