

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
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OFFSET

0,3


COMMENTS

upile positions in the 3Wythoff 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) 181190


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



