A037510 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.

1, 11, 99, 892, 8030, 72270, 650431, 5853881, 52684929, 474164362, 4267479260, 38407313340, 345665820061, 3110992380551, 27998931424959, 251990382824632, 2267913445421690

Offset

1,2

Links

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

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

Index entries for 3-automatic sequences.

Formula

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

A007095(a(n)) = A037511(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; 99; 892])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A239486 A015671 A190870 * A037693 A098611 A090337

Adjacent sequences: A037507 A037508 A037509 * A037511 A037512 A037513

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved