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A037572 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2. 0

%I #11 Feb 13 2017 02:48:18

%S 2,15,107,751,5258,36808,257658,1803607,12625251,88376759,618637314,

%T 4330461200,30313228402,212192598815,1485348191707,10397437341951,

%U 72782061393658,509474429755608,3566321008289258

%N Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,0,1,-7).

%H <a href="/index/Ar#7-automatic">Index entries for 7-automatic sequences</a>.

%F G.f.: x*(2+x+2*x^2) / ( (x-1)*(7*x-1)*(1+x+x^2) ). - _R. J. Mathar_, Apr 27 2015

%F A007093(a(n)) = A037575(n).

%o (PARI) a(n)=([0,1,0,0; 0,0,1,0; 0,0,0,1; -7,1,0,7]^(n-1)*[2;15;107;751])[1,1] \\ _Charles R Greathouse IV_, Feb 13 2017

%K nonn,base,easy

%O 1,1

%A _Clark Kimberling_

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)