A037644 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,1.

2, 21, 190, 1712, 15411, 138700, 1248302, 11234721, 101112490, 910012412, 8190111711, 73711005400, 663399048602, 5970591437421, 53735322936790, 483617906431112, 4352561157880011, 39173050420920100, 352557453788280902, 3173017084094528121

Offset

1,1

Links

Table of n, a(n) for n=1..20.

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

Formula

G.f.: x*(x+2)*(1+x) / ( (x-1)*(9*x-1)*(1+x+x^2) ). - R. J. Mathar, Nov 21 2011

Mathematica

Module[{nn=30, b9}, b9=PadRight[{}, nn, {2, 3, 1}]; Table[FromDigits[ Take[ b9, n], 9], {n, nn}]] (* or *) LinearRecurrence[{9, 0, 1, -9}, {2, 21, 190, 1712}, 30] (* Harvey P. Dale, May 21 2014 *)

Crossrefs

Sequence in context: A037749 A037630 A037756 * A329553 A365061 A110253

Adjacent sequences: A037641 A037642 A037643 * A037645 A037646 A037647

Keyword

nonn,base

Author

Clark Kimberling

Extensions

More terms from Harvey P. Dale, May 21 2014

Status

approved