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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

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Last modified October 19 20:05 EDT 2018. Contains 316378 sequences. (Running on oeis4.)