A037518 - OEIS

A037518

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

2, 18, 163, 1469, 13221, 118990, 1070912, 9638208, 86743873, 780694859, 7026253731, 63236283580, 569126552222, 5122138969998, 46099250729983, 414893256569849, 3734039309128641, 33606353782157770, 302457184039419932, 2722114656354779388

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

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {2, 0, 1}], 9], {n, 20}] (* or *) LinearRecurrence[ {9, 0, 1, -9}, {2, 18, 163, 1469}, 20] (* Harvey P. Dale, May 20 2018 *)

CROSSREFS

Sequence in context: A270369 A352654 A144513 * A037721 A245998 A005260

Adjacent sequences: A037515 A037516 A037517 * A037519 A037520 A037521

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Harvey P. Dale, May 20 2018

STATUS

approved