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A317205 Sprague-Grundy values for Wythoff's game. 1
0, 1, 2, 2, 0, 1, 3, 4, 5, 6, 4, 5, 3, 2, 7, 5, 3, 4, 0, 6, 8, 6, 7, 8, 1, 9, 10, 3, 7, 8, 6, 9, 0, 1, 4, 5, 8, 6, 7, 10, 1, 2, 5, 3, 4, 9, 10, 11, 12, 8, 7, 13, 14, 15, 16 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.

LINKS

Table of n, a(n) for n=0..54.

Uri Blass, and Aviezri S. Fraenkel, The Sprague-Grundy function for Wythoff's game, Theoretical Computer Science75.3 (1990): 311-333. See Table 2.

A. Dress, A. Flammenkamp and N. Pink, Additive periodicity of the Sprague-Grundy function of certain Nim games, Adv. Appl. Math., 22, p. 249-270 (1999).

R. K. Guy, The unity of combinatorics, Proc. 25th Iranian Math. Conf, Tehran, (1994), Math. Appl 329 129-159, Kluwer Dordrecht 1995, Math. Rev. 96k:05001.

Gabriel Nivasch, More on the Sprague-Grundy function for Wythoff’s game, pages 377-410 in "Games of No Chance 3, MSRI Publications Volume 56, 2009. See Table 1.

CROSSREFS

See A004481 for the full table.

Sequence in context: A321884 A136431 A182888 * A296068 A144064 A172236

Adjacent sequences:  A317202 A317203 A317204 * A317206 A317207 A317208

KEYWORD

nonn,tabl,more

AUTHOR

N. J. A. Sloane, Aug 07 2018

STATUS

approved

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Last modified October 16 13:51 EDT 2019. Contains 328093 sequences. (Running on oeis4.)