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A001960 Wythoff game.
(Formerly M1735 N0687)
3
2, 7, 11, 15, 20, 24, 28, 32, 37, 41, 45, 50, 54, 58, 63, 67, 71, 76, 80, 84, 88, 93, 97, 101, 106, 110, 114, 119, 123, 127, 131, 136, 140, 144, 149, 153, 157, 162, 166, 170, 174, 179, 183, 187, 192, 196, 200, 205, 209, 213, 218, 222, 226, 230, 235, 239, 243, 248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

3-Wythoff game, i=2, the v-pile positions in the Connell terminology.- R. J. Mathar, Feb 14 2011

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+2/3)*(5+sqrt 13)/2) . - R. J. Mathar, Feb 14 2011

MATHEMATICA

Table[Floor[(n + 2/3)*(5 + Sqrt[13])/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

CROSSREFS

Cf. A001957.

Sequence in context: A308550 A018308 A184485 * A174008 A140491 A122823

Adjacent sequences:  A001957 A001958 A001959 * A001961 A001962 A001963

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 20 07:33 EDT 2019. Contains 328252 sequences. (Running on oeis4.)