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A001959
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u-pile numbers for the 3-Wythoff game with i=2.
(Formerly M0541)
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3
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0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 88
(list;
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OFFSET
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0,2
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COMMENTS
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See Connell (1959) for further information.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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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
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FORMULA
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a(n) = floor( (n+2/3)*(sqrt(13)-1)/2 ). - R. J. Mathar, Feb 14 2011
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MATHEMATICA
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Table[Floor[(n + 2/3)*(Sqrt[13] - 1)/2], {n, 0, 100}] (* T. D. Noe, Aug 17 2012 *)
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CROSSREFS
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Cf. A001954, A001958, A001960, A001963-A001968.
Sequence in context: A267302 A023799 A267306 * A263135 A119930 A173552
Adjacent sequences: A001956 A001957 A001958 * A001960 A001961 A001962
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Edited by Hugo Pfoertner, Dec 27 2021
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STATUS
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approved
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