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A054016 a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms. 7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Grundy function for turn-at-most-5-coins game.

REFERENCES

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.

LINKS

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

CROSSREFS

Cf. A000069, A033623, A054043, etc.

Sequence in context: A277678 A018763 A054517 * A051039 A056183 A000127

Adjacent sequences:  A054013 A054014 A054015 * A054017 A054018 A054019

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, Apr 29 2000

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Oct 31 2000

STATUS

approved

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Last modified December 17 04:09 EST 2017. Contains 296096 sequences.