A010722 Constant sequence: the all 6's sequence.

6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset

0,1

Comments

Continued fraction expansion of 3+sqrt(10). - Bruno Berselli, Mar 15 2011

Decimal expansion of Sum_{n >= 0} n/binomial(2*n+1, n) = 2/3. - Bruno Berselli, Sep 14 2015

Decimal expansion of 2/3. - Franklin T. Adams-Watters, Feb 23 2019

References

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987, p. 29.

Links

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

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 1014.

Tanya Khovanova, Recursive Sequences.

Index to divisibility sequences.

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

Formula

G.f.: 6/(1-x). - Bruno Berselli, Mar 15 2011

E.g.f.: 6*e^x. - Vincenzo Librandi, Jan 27 2012

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

Prog

(PARI) a(n)=6 \\ Charles R Greathouse IV, Sep 28 2015

Crossrefs

Cf. A145429: decimal expansion of Sum_{n >= 0} n/binomial(2*n, n).

Cf. A000012, A007395, A010701, A010709, A010716.

Sequence in context: A269348 A165057 A165059 * A020793 A021019 A177057

Adjacent sequences: A010719 A010720 A010721 * A010723 A010724 A010725

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved