login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A033119 Base-9 digits are, in order, the first n terms of the periodic sequence with initial period 1,0. 7
1, 9, 82, 738, 6643, 59787, 538084, 4842756, 43584805, 392263245, 3530369206, 31773322854, 285959905687, 2573639151183, 23162752360648, 208464771245832, 1876182941212489, 16885646470912401, 151970818238211610 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Partial sums of A015577. - Mircea Merca, Dec 28 2010

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

FORMULA

a(n) = round((9*9^n-9)/80) = round((9*9^n-5)/80) = floor((9*9^n-1)/80) = ceiling((9*9-9)/80); a(n) = a(n-2) + 9^(n-1), n > 1. - Mircea Merca, Dec 28 2010

From Joerg Arndt, Jan 08 2011: (Start)

G.f.: x / ( (x-1)*(9*x-1)*(1+x) ).

a(n) = 9*a(n-1) + a(n-2) - 9*a(n-3). (End)

EXAMPLE

Base 9...........Decimal

1......................1

10.....................9

101...................82

1010.................738

10101...............6643

101010.............59787

1010101...........538084

10101010.........4842756

101010101.......43584805, etc. - Philippe Deléham, Mar 23 2014

MAPLE

seq(floor((9*9^n-1)/80), n=1..25); # Mircea Merca, Dec 28 2010

MATHEMATICA

Join[{a=1, b=9}, Table[c=8*b+9*a+1; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 06 2011 *)

Table[FromDigits[PadRight[{}, n, {1, 0}], 9], {n, 20}] (* Harvey P. Dale, May 26 2020 *)

PROG

(MAGMA) [Round((9*9^n-9)/80): n in [1..30]]; // Vincenzo Librandi, Jun 25 2011

CROSSREFS

Cf. A015577.

Sequence in context: A293803 A263817 A288789 * A033127 A099371 A334611

Adjacent sequences:  A033116 A033117 A033118 * A033120 A033121 A033122

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 12 22:03 EDT 2021. Contains 342933 sequences. (Running on oeis4.)