A037607 Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.

1, 9, 66, 463, 3243, 22704, 158929, 1112505, 7787538, 54512767, 381589371, 2671125600, 18697879201, 130885154409, 916196080866, 6413372566063, 44893607962443, 314255255737104, 2199786790159729

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Index entries for linear recurrences with constant coefficients, signature (7,0,1,-7).

Formula

G.f.: x*(1+2*x+3*x^2) / ( (x-1)*(7*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

Mathematica

Module[{nn=20, t}, t=PadRight[{}, nn, {1, 2, 3}]; Table[FromDigits[Take[t, i], 7], {i, nn}]] (* Harvey P. Dale, Oct 02 2013 *)

Crossrefs

Sequence in context: A002695 A003408 A037698 * A055148 A014830 A048439

Adjacent sequences: A037604 A037605 A037606 * A037608 A037609 A037610

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved