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A037606 Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3. 0
1, 8, 51, 307, 1844, 11067, 66403, 398420, 2390523, 14343139, 86058836, 516353019, 3098118115, 18588708692, 111532252155, 669193512931, 4015161077588, 24090966465531, 144545798793187, 867274792759124, 5203648756554747 (list; graph; refs; listen; history; text; internal format)
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: A153594 A316594 A037697 * A055147 A014829 A048438

Adjacent sequences:  A037603 A037604 A037605 * A037607 A037608 A037609

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified March 19 00:15 EDT 2019. Contains 321306 sequences. (Running on oeis4.)