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Search: id:A004481
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| A004481 |
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Table of Sprague-Grundy values for Wythoff's game (Wyt Queens) read by antidiagonals. |
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+0
10
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| 0, 1, 1, 2, 2, 2, 3, 0, 0, 3, 4, 4, 1, 4, 4, 5, 5, 5, 5, 5, 5, 6, 3, 3, 6, 3, 3, 6, 7, 7, 4, 2, 2, 4, 7, 7, 8, 8, 8, 0, 7, 0, 8, 8, 8, 9, 6, 6, 1, 6, 6, 1, 6, 6, 9, 10, 10, 7, 9, 9, 8, 9, 9, 7, 10, 10, 11, 11, 11, 10, 0, 10, 10, 0, 10, 11, 11, 11, 12, 9, 9, 12, 1, 1, 3, 1, 1, 12, 9, 9, 12
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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T(a,b) = T(b,a).
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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 p. 76.
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.
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EXAMPLE
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Table begins
0 1 2 3 4 5 ...
1 2 0 4 5 3 ...
2 0 1 5 3 4 ...
3 4 5 6 2 0 ...
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CROSSREFS
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A004482-A004487 are rows 1 to 6. Cf. A047708.
Similar to but different from A004489.
T(a,b)=0 iff A018219(a,b)=0 iff A002251(a)=b.
Sequence in context: A049300 A084957 A035307 this_sequence A004489 A112599 A106795
Adjacent sequences: A004478 A004479 A004480 this_sequence A004482 A004483 A004484
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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njas
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