A010731 Constant sequence: the all 8's sequence.

8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset

0,1

Comments

Continued fraction expansion of 4+sqrt(17). - Bruno Berselli, Mar 15 2011

Decimal expansion of 8/9. - Elmo R. Oliveira, Feb 20 2024

8/9 is the asymptotic probability that the greatest common divisor of two squarefree integers selected independently at random is odd. - Amiram Eldar, Mar 08 2026

Also digits of the 9-adic integer -1. - Stefano Spezia, May 19 2026

Links

Table of n, a(n) for n=0..80.

Tanya Khovanova, Recursive Sequences.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1016.

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

Index to divisibility sequences.

Formula

G.f.: 8/(1-x). - Bruno Berselli, Mar 15 2011

E.g.f.: 8*exp(x). - Elmo R. Oliveira, Feb 20 2024

Mathematica

PadRight[{}, 120, 8] (* Harvey P. Dale, Aug 15 2021 *)

Prog

(PARI) a(n)=8 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A136016.

Sequence in context: A031176 A269350 A195139 * A048762 A201053 A160949

Adjacent sequences: A010728 A010729 A010730 * A010732 A010733 A010734

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved