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Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.
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%I #19 Aug 07 2024 09:19:15

%S 1,10,70,491,3440,24080,168561,1179930,8259510,57816571,404716000,

%T 2833012000,19831084001,138817588010,971723116070,6802061812491,

%U 47614432687440,333301028812080,2333107201684561

%N Base 7 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 (7,0,1,-7).

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

%F G.f.: ( x*(1+3*x) ) / ( (x-1)*(7*x-1)*(1+x+x^2) ). - _R. J. Mathar_, Apr 27 2015

%F A007093(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; -7,1,0,7]^(n-1)*[1;10;70;491])[1,1] \\ _Charles R Greathouse IV_, Feb 13 2017

%Y Cf. A007093, A037603.

%K nonn,base,easy

%O 1,2

%A _Clark Kimberling_