

A010734


Constant sequence: the all 9's sequence.


11



9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
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OFFSET

0,1


COMMENTS

The digital root of 9^n gives the sequence 1, 9, 9, 9, 9, ...  Cino Hilliard, Dec 31 2004
Continued fraction expansion of (9 + sqrt(85))/2.  Bruno Berselli, Mar 15 2011
Also decimal expansion of 0.9999... = 1.  Jianing Song, Jul 12 2018
Contains "SUB[48]: 200 Terabytes of nines", proposed in Randall Munroe's xkcd Web Comic #2016 as a subsequence.  Hugo Pfoertner, Jul 15 2018
Also digits of the 10adic integer 1.  Stefano Spezia, Jan 21 2021


LINKS

Table of n, a(n) for n=0..80.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1017
Tanya Khovanova, Recursive Sequences
Randall Munroe, OEIS Submissions, xkcd Web Comic #2016, Jul 06 2018.
Anderson Norton and Michael Baldwin, Does 0.999... really equal 1?, The Math Educ. 21 (2) (2012) 5867.
Index to divisibility sequences
Index entries for linear recurrences with constant coefficients, signature (1).


FORMULA

G.f.: 9/(1x).  Bruno Berselli, Mar 15 2011
Equals A158289(n) + A199264(n).  Arkadiusz Wesolowski, Nov 30 2011
E.g.f.: 9*e^x.  Vincenzo Librandi, Jan 26 2012


MATHEMATICA

Table[9, {81}] (* Arkadiusz Wesolowski, Nov 30 2011 *)
IntegerDigits[10^100  1] (* Alonso del Arte, Jul 09 2018 *)
PadRight[{}, 120, 9] (* Harvey P. Dale, Jan 28 2020 *)


PROG

(PARI) a(n)=9 \\ Charles R Greathouse IV, Oct 07 2015
(Scala) List.fill(100)(9) // Alonso del Arte, Jul 08 2018


CROSSREFS

Sequence in context: A099646 A181693 A271880 * A180599 A291092 A066568
Adjacent sequences: A010731 A010732 A010733 * A010735 A010736 A010737


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



