A010716 Constant sequence: the all 5's sequence.

5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

Offset

0,1

Comments

Continued fraction expansion of (5 + sqrt(29))/2. - Bruno Berselli, Mar 15 2011

Decimal expansion of 5/9. - Arkadiusz Wesolowski, Sep 12 2011

With offset -1, decimal expansion of 1/18. - Michel Marcus, Apr 06 2018

Links

Table of n, a(n) for n=0..104.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1013

Tanya Khovanova, Recursive Sequences

Jan-Christoph Schlage-Puchta, Sumsets avoiding squarefree integers, arXiv:1105.1305 [math.NT], 2011. See abstract.

Index to divisibility sequences

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

Formula

G.f.: 5/(1-x). - Bruno Berselli, Mar 15 2011

a(n) = 5. - Arkadiusz Wesolowski, Sep 12 2011

E.g.f.: 5*e^x. - Vincenzo Librandi, Jan 24 2012

Mathematica

Table[5, {81}] (* Arkadiusz Wesolowski, Sep 12 2011 *)

Prog

(PARI) a(n)=5 \\ Charles R Greathouse IV, Sep 24 2015
(Scala) List.fill(100)(5) // Alonso del Arte, Apr 25 2020

Crossrefs

Cf. A000012, A084962.

Sequence in context: A142864 A098598 A021022 * A032560 A341028 A341034

Adjacent sequences: A010713 A010714 A010715 * A010717 A010718 A010719

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved