A037606 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.

1, 8, 51, 307, 1844, 11067, 66403, 398420, 2390523, 14343139, 86058836, 516353019, 3098118115, 18588708692, 111532252155, 669193512931, 4015161077588, 24090966465531, 144545798793187, 867274792759124, 5203648756554747

Offset

1,2

Links

Table of n, a(n) for n=1..21.

Index entries for 6-automatic sequences.

Index entries for linear recurrences with constant coefficients, signature (6,0,1,-6).

Formula

G.f.: x*(1+2*x+3*x^2) / ( (x-1)*(6*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007092(a(n)) = A037610(n). - R. J. Mathar, Apr 27 2015

Mathematica

nn=30; With[{c=PadRight[{}, nn, {1, 2, 3}]}, Table[FromDigits[Take[c, n], 6], {n, nn}]] (* Harvey P. Dale, Aug 25 2012 *)

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -6, 1, 0, 6]^(n-1)*[1; 8; 51; 307])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A344055 A316594 A037697 * A055147 A014829 A048438

Adjacent sequences: A037603 A037604 A037605 * A037607 A037608 A037609

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved