A037605 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.

1, 7, 38, 191, 957, 4788, 23941, 119707, 598538, 2992691, 14963457, 74817288, 374086441, 1870432207, 9352161038, 46760805191, 233804025957, 1169020129788, 5845100648941, 29225503244707, 146127516223538, 730637581117691

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (5,0,1,-5).

Index entries for 5-automatic sequences.

Formula

G.f.: x*(1+2*x+3*x^2) / ( (x-1)*(5*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007091(a(n)) = A037610(n). - R. J. Mathar, Apr 27 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 2, 3}], 5], {n, 30}] (* or *) LinearRecurrence[{5, 0, 1, -5}, {1, 7, 38, 191}, 30] (* Harvey P. Dale, Oct 16 2024 *)

Prog

(PARI) a(n)=([0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; -5, 1, 0, 5]^(n-1)*[1; 7; 38; 191])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A217340 A037696 A026895 * A128726 A346395 A055146

Adjacent sequences: A037602 A037603 A037604 * A037606 A037607 A037608

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved