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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

• 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).

Crossrefs

Cf. A000012, A084962.

Programs

Mathematica

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

PARI

a(n)=5 \\ Charles R Greathouse IV, Sep 24 2015

Scala

List.fill(100)(5) // Alonso del Arte, Apr 25 2020

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