A037574 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.

2, 19, 173, 1559, 14032, 126290, 1136612, 10229509, 92065583, 828590249, 7457312242, 67115810180, 604042291622, 5436380624599, 48927425621393, 440346830592539, 3963121475332852

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*(2+x+2*x^2) / ( (x-1)*(9*x-1)*(1+x+x^2) ). - R. J. Mathar, Apr 26 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {2, 1, 2}], 9], {n, 20}] (* or *) LinearRecurrence[ {9, 0, 1, -9}, {2, 19, 173, 1559}, 20] (* Harvey P. Dale, Jul 20 2020 *)

Crossrefs

Sequence in context: A224753 A037558 A037494 * A037742 A037637 A163067

Adjacent sequences: A037571 A037572 A037573 * A037575 A037576 A037577

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved