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A010734 Constant sequence: the all 9's sequence. 12

%I #87 Jan 16 2024 17:21:42

%S 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,

%T 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,

%U 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

%N Constant sequence: the all 9's sequence.

%C Continued fraction expansion of (9 + sqrt(85))/2. - _Bruno Berselli_, Mar 15 2011

%C Also decimal expansion of 0.9999... = 1. - _Jianing Song_, Jul 12 2018

%C Contains "SUB[48]: 200 Terabytes of nines", proposed in Randall Munroe's xkcd Web Comic #2016 as a subsequence. - _Hugo Pfoertner_, Jul 15 2018

%C Also digits of the 10-adic integer -1. - _Stefano Spezia_, Jan 21 2021

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=1017">Encyclopedia of Combinatorial Structures 1017</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H Randall Munroe, <a href="https://xkcd.com/2016/">OEIS Submissions</a>, xkcd Web Comic #2016, Jul 06 2018.

%H Anderson Norton and Michael Baldwin, <a href="http://math.coe.uga.edu/TME/Issues/v21n2/v21n2_Norton&amp;Baldwin_Abs.html">Does 0.999... really equal 1?</a>, The Math Educ. 21 (2) (2012) 58-67.

%H <a href="/index/Di#divseq">Index to divisibility sequences</a>

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).

%F G.f.: 9/(1-x). - _Bruno Berselli_, Mar 15 2011

%F Equals A158289(n) + A199264(n). - _Arkadiusz Wesolowski_, Nov 30 2011

%F E.g.f.: 9*e^x. - _Vincenzo Librandi_, Jan 26 2012

%t Table[9, {81}] (* _Arkadiusz Wesolowski_, Nov 30 2011 *)

%t IntegerDigits[10^100 - 1] (* _Alonso del Arte_, Jul 09 2018 *)

%t PadRight[{},120,9] (* _Harvey P. Dale_, Jan 28 2020 *)

%o (PARI) a(n)=9 \\ _Charles R Greathouse IV_, Oct 07 2015

%o (Scala) List.fill(100)(9) // _Alonso del Arte_, Jul 08 2018

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)