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A054016
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a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.
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7
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1, 2, 4, 8, 16, 31, 32, 64, 103, 128, 171, 213, 256, 301, 342, 439, 475, 494, 512, 558, 595, 911, 1024, 1075, 1114, 1189, 1287, 1606, 1727, 1996, 2048, 2102, 2140, 2225, 2339, 2667, 2691, 3240, 3733, 4096, 4153, 4171, 4371, 4745, 4912, 5237, 5601, 5746
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OFFSET
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1,2
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COMMENTS
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Grundy function for turn-at-most-5-coins game.
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REFERENCES
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E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see Table 3, Chapter 14, p. 433.
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LINKS
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Table of n, a(n) for n=1..48.
A. S. Fraenkel, Mathematical Chats Between Two Physicists, in Puzzlers' Tribute: A Feast for the Mind, honoring Martin Gardner (D. Wolfe and T. Rodgers, eds.), A. K. Peters, 2002, pp. 315-325.
Index entries for sequences related to Nim-sums
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CROSSREFS
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Cf. A000069, A033623, A054043, etc.
Sequence in context: A277678 A018763 A054517 * A051039 A056183 A000127
Adjacent sequences: A054013 A054014 A054015 * A054017 A054018 A054019
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane, Apr 29 2000
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Oct 31 2000
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STATUS
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approved
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