A037707 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0,2.

1, 12, 108, 974, 8767, 78906, 710154, 6391388, 57522493, 517702440, 4659321960, 41933897642, 377405078779, 3396645709014, 30569811381126, 275128302430136, 2476154721871225

Offset

1,2

Links

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

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

Formula

G.f.: ( x*(1+3*x+2*x^3) ) / ( (x-1)*(9*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 13 2015

Mathematica

Table[FromDigits[PadRight[{}, n, {1, 3, 0, 2}], 9], {n, 20}] (* or *) LinearRecurrence[ {9, 0, 0, 1, -9}, {1, 12, 108, 974, 8767}, 20] (* Harvey P. Dale, Aug 23 2019 *)

Crossrefs

Sequence in context: A053469 A055533 A037602 * A140317 A069653 A155608

Adjacent sequences: A037704 A037705 A037706 * A037708 A037709 A037710

Keyword

nonn,base

Author

Clark Kimberling

Status

approved