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A001957 Wythoff game.
(Formerly M2302 N0908)
1
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 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

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

Complement of A001960. [From Omar E. Pol (info(AT)polprimos.com), 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

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

CROSSREFS

Cf. A001960. [From Omar E. Pol (info(AT)polprimos.com), Jan 06 2009]

Sequence in context: A187970 A122488 A039095 * A184484 A100966 A172121

Adjacent sequences:  A001954 A001955 A001956 * A001958 A001959 A001960

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

It would be good to have a better definition of this old entry! - N. J. A. Sloane (njas(AT)research.att.com), Jan 06 2009

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Last modified February 16 14:07 EST 2012. Contains 205930 sequences.