login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010701 Constant sequence: the all 3's sequence. 42
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Decimal expansion for 1/3. - Raymond Wang, Mar 06 2010

Continued fraction expansion of (3+sqrt(13))/2. - Bruno Berselli, Mar 15 2011

LINKS

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

Tanya Khovanova, Recursive Sequences

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1011

Daniele A. Gewurz and Francesca Merola, Sequences realized as Parker vectors of oligomorphic permutation groups, J. Integer Seqs., Vol. 6, 2003.

Rick Mabry, Proof without words: 1/4+(1/4)^2+(1/4)^3+...=1/3, Math. Mag. 72 no.1 (1999) 63.

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

Index to divisibility sequences

FORMULA

G.f.: 3/(1-x). - Bruno Berselli, Mar 15 2011

E.g.f.: 3*e^x. - Vincenzo Librandi, Jan 24 2012

a(n) = A040000(n) + A054977(n). - Reinhard Zumkeller, May 06 2012

a(n) = 3*A000012(n). - Michel Marcus, Dec 18 2015

a(n) = floor(1/(n - cot(1/n))) . - Clark Kimberling, Mar 10 2020

Equals Sum_{k>=1} (1/4)^k (as a constant). - Michel Marcus, Jun 11 2020

EXAMPLE

1/3 = 0.33333333333333333333333333333333333333333333... - Bruno Berselli, Mar 21 2014

MATHEMATICA

Table[3, {100}] (* Wesley Ivan Hurt, Jul 16 2014 *)

PROG

(Haskell)

a010701 = const 3

a010701_list = repeat 3  -- Reinhard Zumkeller, May 07 2012

(Maxima) makelist(3, n, 0, 30); /* Martin Ettl, Nov 09 2012 */

(PARI) a(n)=3 \\ Felix Fröhlich, Jul 16 2014

CROSSREFS

Sequence in context: A324497 A179804 A102818 * A290858 A174971 A122553

Adjacent sequences:  A010698 A010699 A010700 * A010702 A010703 A010704

KEYWORD

nonn,cons,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 25 12:21 EDT 2020. Contains 338012 sequences. (Running on oeis4.)