A037616 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2.

1, 12, 110, 991, 8922, 80300, 722701, 6504312, 58538810, 526849291, 4741643622, 42674792600, 384073133401, 3456658200612, 31109923805510, 279989314249591, 2519903828246322, 22679134454216900, 204112210087952101, 1837009890791568912, 16533089017124120210

Offset

1,2

Links

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

Index entries for 3-automatic sequences.

Index entries for linear recurrences with constant coefficients, signature (9,0,1,-9).

Formula

G.f.: x*(1+x)*(2*x+1) / ( (x-1)*(9*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 27 2015

A007095(a(n)) = A037617(n). - R. J. Mathar, Apr 27 2015

Mathematica

Module[{nn=30, t}, t=PadRight[{}, nn, {1, 3, 2}]; Table[FromDigits[ Take[ t, n], 9], {n, nn}]] (* Harvey P. Dale, May 06 2014 *)

Crossrefs

Sequence in context: A069294 A000559 A037714 * A048532 A049102 A075231

Adjacent sequences: A037613 A037614 A037615 * A037617 A037618 A037619

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved