A010716 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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.

Dominika Závacká, Cristina Dalfó, and Miquel Angel Fiol, Integer sequences from k-iterated line digraphs, CEUR: Proc. 24th Conf. Info. Tech. - Appl. and Theory (ITAT 2024) Vol 3792, 156-161. See p. 161, Table 2.

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