A037509 Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.

1, 10, 80, 641, 5130, 41040, 328321, 2626570, 21012560, 168100481, 1344803850, 10758430800, 86067446401, 688539571210, 5508316569680, 44066532557441, 352532260459530, 2820258083676240

Offset

1,2

Links

Table of n, a(n) for n=1..18.

Index entries for linear recurrences with constant coefficients, signature (8,0,1,-8).

Index entries for 2-automatic sequences.

Formula

G.f.: x*(1+2*x) / ( (x-1)*(8*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007094(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; -8, 1, 0, 8]^(n-1)*[1; 10; 80; 641])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A093145 A341917 A369474 * A037692 A126531 A200162

Adjacent sequences: A037506 A037507 A037508 * A037510 A037511 A037512

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved