A037651 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1.

3, 27, 244, 2199, 19791, 178120, 1603083, 14427747, 129849724, 1168647519, 10517827671, 94660449040, 851944041363, 7667496372267, 69007467350404, 621067206153639, 5589604855382751

Offset

1,1

Links

Table of n, a(n) for n=1..17.

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

Formula

G.f.: x*(3+x^2) / ( (x-1)*(9*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 30 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {3, 0, 1}], 9], {n, 20}] (* or *) LinearRecurrence[ {9, 0, 1, -9}, {3, 27, 244, 2199}, 20] (* Harvey P. Dale, Mar 15 2016 *)

Crossrefs

Sequence in context: A361842 A168495 A037763 * A037770 A037658 A370271

Adjacent sequences: A037648 A037649 A037650 * A037652 A037653 A037654

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved