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A001965 Wythoff game.
(Formerly M2301 N0907)
2
0, 1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40, 41, 42, 43, 45, 46, 47, 48, 50, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 74, 76, 77, 78, 79, 80, 82 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

u-pile count for the 4-Wythoff game with i=2 (Connell). Complement of A001966 (the v-pile).

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+1/2)*(sqrt(5)-1) ). - R. J. Mathar, Feb 14 2011

MATHEMATICA

Table[Floor[(n + 1/2)*(Sqrt[5] - 1)], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

CROSSREFS

Sequence in context: A025020 A028974 A184427 * A039178 A110911 A103202

Adjacent sequences:  A001962 A001963 A001964 * A001966 A001967 A001968

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 16 15:53 EST 2019. Contains 319195 sequences. (Running on oeis4.)