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A001966 Wythoff game.
(Formerly M1739 N0689)
3
2, 7, 13, 18, 23, 28, 34, 39, 44, 49, 54, 60, 65, 70, 75, 81, 86, 91, 96, 102, 107, 112, 117, 123, 128, 133, 138, 143, 149, 154, 159, 164, 170, 175, 180, 185, 191, 196, 201, 206, 212, 217, 222, 227, 233, 238, 243, 248, 253, 259, 264, 269, 274, 280, 285, 290 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

v-pile counts for the 4-Wythoff game, parameter i=2 (Connell).

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)*(3+sqrt 5) ).

MATHEMATICA

Table[Floor[(n + 1/2)*(Sqrt[5] + 3)], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)

CROSSREFS

Cf. A001965 (u-pile).

Sequence in context: A191036 A106911 A019370 * A209886 A168465 A140562

Adjacent sequences:  A001963 A001964 A001965 * A001967 A001968 A001969

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 21 17:52 EDT 2017. Contains 290892 sequences.