A037601 Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.

1, 11, 88, 705, 5643, 45144, 361153, 2889227, 23113816, 184910529, 1479284235, 11834273880, 94674191041, 757393528331, 6059148226648, 48473185813185, 387785486505483, 3102283892043864

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+3*x) / ( (x-1)*(8*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007094(a(n)) = A037603(n). - R. J. Mathar, Apr 27 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 3, 0}], 8], {n, 20}] (* Harvey P. Dale, Apr 18 2020 *)

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -8, 1, 0, 8]^(n-1)*[1; 11; 88; 705])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A346448 A173731 A224179 * A037706 A175605 A162576

Adjacent sequences: A037598 A037599 A037600 * A037602 A037603 A037604

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved