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A033145 Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0. 2
1, 9, 81, 730, 6570, 59130, 532171, 4789539, 43105851, 387952660, 3491573940, 31424165460, 282817489141, 2545357402269, 22908216620421, 206173949583790, 1855565546254110, 16700089916286990, 150300809246582911, 1352707283219246199, 12174365548973215791 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

FORMULA

a(n) = +9*a(n-1) +a(n-3) -9*a(n-4). G.f.:  x / ( (x-1)*(9*x-1)*(1+x+x^2) ). - R. J. Mathar, Jan 08 2011

a(n) = floor((81/728)*9^n). - Tani Akinari, Jul 18 2014

EXAMPLE

The first six terms have base 9 representations 1, 10, 100, 1001, 10010, 100100.

MATHEMATICA

Table[FromDigits[PadRight[{}, n, {1, 0, 0}], 9], {n, 30}] (* Harvey P. Dale, Dec 18 2018 *)

PROG

(PARI) Vec(x / ( (x-1)*(9*x-1)*(1+x+x^2) )+ O(x^30)) \\ Michel Marcus, Jul 18 2014

CROSSREFS

Sequence in context: A158779 A047901 A061587 * A158762 A101601 A233737

Adjacent sequences:  A033142 A033143 A033144 * A033146 A033147 A033148

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Michel Marcus, Jul 18 2014

STATUS

approved

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Last modified June 22 14:30 EDT 2021. Contains 345380 sequences. (Running on oeis4.)