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A001957 Wythoff game.
(Formerly M2302 N0908)
2
0, 1, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

u-pile positions in the 3-Wythoff game, i=1 (Connell).

Complement of A001960. [From Omar E. Pol, Jan 06 2009]

REFERENCES

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 = 0..10000

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

FORMULA

a(n) = floor( (n+1/3) * (sqrt(13)-1) /2). - R. J. Mathar, Feb 14 2011

MATHEMATICA

Table[Floor[(n + 1/3)*(Sqrt[13] - 1)/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

CROSSREFS

Cf. A001960.

Sequence in context: A287727 A298606 A039095 * A184484 A253897 A100966

Adjacent sequences:  A001954 A001955 A001956 * A001958 A001959 A001960

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

It would be good to have a better definition of this old entry! - N. J. A. Sloane, Jan 06 2009

STATUS

approved

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Last modified January 22 16:47 EST 2019. Contains 319364 sequences. (Running on oeis4.)