login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A001961 A Beatty sequence: floor(n * (sqrt(5) - 1)).
(Formerly M0540 N0192)
6
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 61, 63, 64, 65, 66, 67, 69, 70, 71, 72, 74, 75, 76, 77, 79, 80, 81, 82, 84 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

u-pile positions of the 4-Wythoff game with parameter i=0 (Connell nomenclature). - R. J. Mathar, Feb 14 2011

REFERENCES

Wen An Liu and Xiao Zhao, Adjoining to (s,t)-Wythoff's game its P-positions as moves, Discrete Applied Mathematics, 27 August 2014; DOI: 10.1016/j.dam.2014.08.009. See Table 1.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000

Ian G. Connell, A generalization of Wythoff's game, Canad. Math. Bull. 2 (1959) 181-190

A. S. Fraenkel, How to beat your Wythoff games' opponent on three fronts, Amer. Math. Monthly, 89 (1982), 353-361 (the case a=4)

Index entries for sequences related to Beatty sequences

MATHEMATICA

Table[Floor[n*(Sqrt[5] - 1)], {n, 100}] (* T. D. Noe, Aug 17 2012 *)

CROSSREFS

Complement of A001962.

Sequence in context: A115180 A045774 A045681 * A020656 A039116 A047201

Adjacent sequences:  A001958 A001959 A001960 * A001962 A001963 A001964

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Missing right parenthesis in description corrected May 15 1995.

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 January 17 10:30 EST 2019. Contains 319218 sequences. (Running on oeis4.)