A037609 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.

1, 11, 102, 919, 8273, 74460, 670141, 6031271, 54281442, 488532979, 4396796813, 39571171320, 356140541881, 3205264876931, 28847383892382, 259626455031439, 2336638095282953

Offset

1,2

Links

Table of n, a(n) for n=1..17.

Index entries for 3-automatic sequences.

Index entries for linear recurrences with constant coefficients, signature (9,0,1,-9).

Formula

G.f.: x*(1+2*x+3*x^2) / ( (x-1)*(9*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007095(a(n)) = A037610(n). - R. J. Mathar, Apr 27 2015

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -9, 1, 0, 9]^(n-1)*[1; 11; 102; 919])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A087744 A054421 A037700 * A055150 A014832 A048441

Adjacent sequences: A037606 A037607 A037608 * A037610 A037611 A037612

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved